A component is assembled in a four-step process. The probability of making a defect in step 1 is .10; in step 2, .20; in step 3, .08; and in step 4, .05. What is the probability that the component will be defective

Answers

Answer 1

Answer:

0.371

Step-by-step explanation:

Given that:

Assembly requires a 4 step process:

Probability distribution of defect :

P(step 1) = 0.1

P(step 2) = 0.2

P(step 3) = 0.08

P(step 4) = 0.05

Firstly, we find the probability that there is no defect in each of the assembly process :

Probability of no defect: = (1 - p(defect))

P(step 1) = 1 - 0.1 = 0.9

P(step 2) = 1 - 0.2 = 0.8

P(step 3) = 1 - 0.08 = 0.92

P(step 4) = 1 - 0.05 = 0.95

Hence,

P(no_defect) = 0.9 * 0.8 * 0.92 * 0.95 = 0.62928

Probability of having a defective component ;

P(defect) = P(no_defect)' = 1 - p(no-defect)

1 - 0.62928 = 0.37072

0.37072

= 0.371


Related Questions

Help????
I have to turn this innn

Answers

Answer:

The answer is -12

Step-by-step explanation:

Because if X=3 and it was -X4 times then it is 3x4 which equals 12 then add the negative back to the answer you get -12

Answer:

The answer is -81

Step-by-step explanation:

..........

D 2. Choose the correct answer.
Art's wife wants to cover the floor with 1 foot square carpet tiles. The tiles are sold in boxes of 20 for $38.90. Before Art's wife can buy the correct amount of
boxes, what other information does she need to know?
O the color of the tiles
O the dimensions of the floor
O the amount of tax
all of these

Answers

The dimensions of the floor I believe

Jeremy earns $9.75 per hour at his after school job.
Write an equation to find the total number of hours, h,
Jeremy worked if he earned $126.75 last week.

Answers

Jeremy worked 13 hours

What is the probability that from a sample of 100 Indianapolis residents, fewer than 95% were rooting for the Giants in Super Bowl XLVI

Answers

Complete Question

Super Bowl XLVI was played between the New York Giants and the New England Patriots in Indianapolis. Due to a decade-long rivalry between the Patriots and the city’s own team, the Colts, most Indianapolis residents were rooting heartily for the Giants. Suppose that 90% of Indianapolis residents wanted the Giants to beat the Patriots. What is the probability that from a sample of 100 Indianapolis residents, fewer than 95% were rooting for the Giants in Super Bowl XLVI?

Answer:

The value is  [tex]P(X < 0.95) = 0.95224[/tex]

Step-by-step explanation:

From the question we are told that

  The proportion that wants Giants to win  p = 0.90  

   The sample size is n  =  100

 Generally the mean of this sampling distribution is  

       [tex]\mu_{x} = 0.90[/tex]

Generally the standard deviation is  

      [tex]\sigma = \sqrt{\frac{p(1- p)}{n} }[/tex]

=>   [tex]\sigma = \sqrt{\frac{ 0.90 (1- 0.90)}{100} }[/tex]

=>   [tex]\sigma = 0.03[/tex]

Generally the probability that  from a sample of 100 Indianapolis residents, fewer than 95% were rooting for the Giants in Super Bowl XLVI is mathematically represented  as

     [tex]P(X < 0.95) = P(\frac{ X - \mu_{x}}{\sigma} < \frac{0.95 -0.90}{0.03} )[/tex]

[tex] \frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

       [tex]P(X < 0.95) = P(Z < 1.667 )[/tex]

=>    [tex]P(X < 0.95) = 0.95224[/tex]

What will happen to the mean if the median will increase?

Answers

Answer:

It will increase

Step-by-step explanation:

As the mean increases the median also increases.

it will also increase

pls ignore my answer in the text box

Answers

Answer:

IS IT FREE??????????????????/

A video game arcade offers a yearly

Answers

yes? what is the full question ???

Decide if the situation involves​ permutations, combinations, or neither. Explain your reasoning. The number of ways 13 people can line up in a row for concert tickets. Does the situation involve​ permutations, combinations, or​ neither? Choose the correct answer below.

Answers

Step-by-step explanation:

The situation involves permutation. Permutation deals with arrangements of objects. It talks about ways peoples or objects can be arranged with or without restriction. According to the question,

The number of ways 13 people can line up in a row for concert tickets can be expressed as

13! = 13 * 12 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

13! = 6,227,020,800 ways

Hence the number of ways 13 people can line up in a row is 6,227,020,800 different ways and the situation involves permutation.

Newly purchased automobile tires of a certain type are supposed to be filled to a pressure of 30 psi. Let μ denote the true average pressure. Find the P-value associated with each of the following given z statistic values for testing H0: μ = 30 versus Ha: μ 30 when σ is known. (Give the answers to four decimal places.)

Answers

Complete Question

Newly purchased automobile tires of a certain type are supposed to be filled to a pressure of 30 psi. Let μ denote the true average pressure. Find the P-value associated with each of the following given z statistic values for testing H0: μ = 30 versus Ha: μ 30 when σ is known. (Give the answers to four decimal places.)

calculate for each

(a) z = 2.30

(b) z = -1.7

Answer:

a

[tex]p-value = 0.021448[/tex]

b

[tex]p-value = 0.08913[/tex]

Step-by-step explanation:

From the question we are told that

   The population mean is [tex]\mu = 30 \ psi[/tex]

   The null hypothesis [tex]H_o : \mu = 30[/tex]

    The alternative hypothesis is  [tex]H_a : \mu \ne 30[/tex]

Considering question a  

 Here  the test statistics is (a) z = 2.30  

 From the z table  the probability of  (Z >  2.30)  is  

      [tex]P(Z > 2.30 ) = 0.010724[/tex]

Generally the p-value is mathematically represented as

      [tex]p-value = 2 * P(Z > 2.30 )[/tex]

=>   [tex]p-value = 2 * 0.010724[/tex]

=>   [tex]p-value = 0.021448[/tex]

Considering question b

 Here  the test statistics is (a) z = -1.7

 From the z table  the probability of  (Z <  -1.7)  is  

      [tex]P(Z < -1.7 ) = 0.044565[/tex]

Generally the p-value is mathematically represented as

      [tex]p-value = 2 * P(Z < -1.70 )[/tex]

=>   [tex]p-value = 2 * 0.044565[/tex]

=>   [tex]p-value = 0.08913[/tex]

Lynn wants to multiply 44 × 305. She says that all she has to do is find 4 × 305 and then double that number.
Which explains whether or not Lynn’s method will give her the correct answer?


Lynn's method will give her the correct answer.
Multiplying by 4 and then doubling the product is the same as multiplying by 44.


Lynn's method will not give her the correct answer.
Multiplying by 4 and then doubling the product is the same as multiplying by 6, not by 44.


Lynn's method will not give her the correct answer.
Multiplying by 4 and then doubling the product is the same as multiplying by 8, not by 44.


Lynn's method will not give her the correct answer.
Multiplying by 4 and then doubling the product is the same as multiplying by 16, not by 4

Answers

Answer:

Lynn's method will not give her the correct answer.

Multiplying by 4 and then doubling the product is the same as multiplying by 8, not by 44.

Step-by-step explanation:

I just solved the equation of every answer and this is the one that

(305 x 4) x 2= (305 x 8) x 2.

Message me if you don't understand

Convert the following to the nearest tenth. (You may use a calculator.)

105 kilometers to miles

miles = ?

Answers

Answer:

65.24 miles.

Step-by-step explanation:


Round 683,492 to the nearest hundred thousand,

A. 600,000
B. 683,000
C. 680,000
D. 700,000

Plz hurry

Answers

Answer:

since you're rounding to the hundred thousand, it would round up to the 4th option as 683,492 is closer to 700,000 than 600,000

Heeeeeeeeeellllllllllllppppppppp

Answers

The answer is x=15
First figure out the angle: the angle is supplementary which equals to a total of 180 degrees. So in order to find x we must add 7x+60 and 15 and equal it to 180 degrees.
7x+60+15=180

Then you will add like terms on both sides which is 60 and 15 which gets you 75.
7x+75=180
Then you need to get x alone so you will subtract 75 on both sides.
7x+75= 180
-75 -75
———————
7x=105
Then you divide both sides by 7 so you can get x by it self.
7x=105
—-=——
7 7
This will give you x = 15.
Now that you have what x is you need to find the missing angle. You will do this by plugging in x=15 into 7x+60
7(15)+60
105+60= 165
To check you work you can add up both angles to see if you will get 180 as you total if u do it’s correct.
165+15=180

Pleaseeeee help ASAP will give BRAINLEIST!!

Answers

i believe it’s .095 because the miles is 50 and you just divide 4.75 by 50 and it’s .096

The value of one score in a distribution is changed from X = 20 to X = 30. Which measure(s) of central tendency is (are) certain to change?

Answers

Answer:

Mean

Step-by-step explanation:

The three basic measures of central tendencies are mean, median and mode.

Mean can be described as the average value of a set of numbers or scores in a distribution.

One of the ways the mean can be calculated is by dividing the sum of the scores in a distribution by the number of scores in the distribution. This can be represented mathematically as follows:

Mean = Sum of the scores in a distribution / Number of scores in the distribution ........ (1)

Median is the middle number when the scores in a distribution is arranged in ascending or descending order.

Mode is the most frequent number or score in a distribution.

Out of the three basic measures of central tendencies only the mean will certainly change when there is a change in one of the scores. This is because, we can still have the same score as the most frequent and the same number as the median but the mean will change.

For example, we can prove that the mean will certainly change if we assume that the sum of the scores in a distribution is 200 and number of scores in the distribution is 10, wee can substitute this into equation (1) and have:

Mean = 200 / 10 = 20

Now, as given in the question, if the value of one score in the distribution is changed from X = 20 to X = 30. We can obtain the difference as follows:

Difference in score = 30 - 20 = 10

The new mean can be calculated as follows:

New mean = (200 + Diffrence in score) / 20 = (200 + 10) / 20 = 210 / 20 = 21

Therefore, the mean changed by 1 from 20 to 21. This therefore proves that the mean will certainly change.

Of the measures of central tendency, the measure which will certainly change is the mean.

Measures of central tendency include mean, median and mode of a distribution.

The mean refers to the average, hence, the a change in one value in the distribution would certainly change the mean of the distribution.

The mode refers to the highest occurring value in the distribution.

Median denotes the number at the middle of a distribution once it is arranged in order of magnitude.

For instance :

2, 2, 10, 15, 20

The mean = (2 + 2 + 10 + 15 + 20) / 5 = 49/5 = 9.8

Mode = 2 (highest occuring)

Median = 10 (middle value)

If X = 20 is changed to X = 30

2, 2, 10, 15, 30

The mean = (2 + 2 + 10 + 15 + 30) = 59/5 = 11.8

Mode = 2 (highest occuring)

Median = 10 (middle value)

Therefore, the measure which would certainly change is the mean.

Learn more : https://brainly.com/question/8882508

Please help I would appreciate it

Answers

The answer
is D ( zero)

Use this information and the information you have learned in the last three lessons to decide which savings option is best for Vincent. Use the PACED decision-making method and show your work. Which savings option is best for Vincent?

Answers

Answer:

(the biggest %off would be the answer, but ther is no list of decisions or different coupons)

Step-by-step explanation:

again, 100% off would be the best deal, but no answer choices.

(i might be wrong;im farming for brainly points.)

A market sells 7 oranges for2.45 how muck will 8 oranges cost

Answers

Answer:

17.15

step by step explanation

2.45 divided by seven equals .35.

So each oranges is .35¢

So now multiply .35 by 8 and you’ll get a total of $2.80

$2.80 for 8 oranges.

What is the equation of the vertical line through
(

8
,
5
)
(−8,5)left parenthesis, minus, 8, comma, 5, right parenthesis?

Answers

Answer:

y= 13/4x - 21

Step-by-step explanation:

What we need to do is find the slope first. We know the slope formula is

y_1 minus y_2/ x_1 minus x_2. I am assuming that one point is (8,5) the other is (4,-8). So when we insert these coordinates into the equation,

[5-(-8)/8-4] we result with 13/4 as the slope. We can now use the slope-intercept form! ( y=mx+b) 13/4 can be put into this equation as m, because its the slope. So, now we have y=13/4x+b. The last step to find the equation is inserting the first coordinates given.(8,5)     5= 8(13/4)+b. 8 times 13 divided by 4 is 26. This is what we factored to so far: 5= 26+b. We are trying to solve for b! So lastly, 5-26= -21 and that is b. Once again, we can use the slope intercept formula since we know both b and the slope. FINAL ANSWER: y=13/4x-21. I hope this can help!

Answer:

-8

Step-by-step explanation:

If Mitzi has two dogs, a puppy that weighs 25 pounds and an adult that weighs 80 pounds, how much will it cost to bathe them both?

Answers

The cost to groom both dogs should be $105.

Answer:

105

Step-by-step explanation:

To solve the exponential inequality below by graphing, Sasha creates a table of values representing the left side of the inequality.


32x-3 < 3

A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 1, 2, 3. Column 2 is labeled y with entries StartFraction 1 Over 27 EndFraction, one-third, 3, 27.

What is the solution set for the inequality?


(2, ∞)

(3, ∞)

(−∞, 2)---- this one is the correct one

(−∞, 2) ∪ (3, ∞)

Answers

Answer: (-∞,2)

Step-by-step explanation:

correct on edg2020

Answer:

Letter c is the correct answer

Step-by-step explanation:

(39)
2 + 3 = 4
(y + 4) (
(
2 + 5 + 4
( + 1) (
(y + 4)()
= ()
( + 1)()
= ()()​

Answers

Answer:

2&u4hds

Step-by-step explanation:

ok

find the point of intersection of the lines represented by the equation 3x²-5xy-2y²-x+9y-4=0.​

Answers

Answer:

Point of Interesection: (1, 1)

Step-by-step explanation:

Given the equation 3x^2-5xy-2y^2-x+9y-4 = 0.

We can translate this into a system of equations: y = 1/2x + 1/2, and y = -3x + 4.

Helpppppppppppppppppp

Answers

Answer:

B is the right answer I believe

What is the value of x in the equation 3x - y = 18, when y = 27? 5 7 0 45 63​

Answers

Answer:

x=15

Step-by-step explanation:

3x-27=18

3x=18+27

3x=45

x=45/3

x=15

Answer:

ITS 7

Step-by-step explanation:

I got the other ones wrong and i checked what was the correct answer and it said it was 7

LaWanda was born in 2001 and plans to retire at age 64. According to her most recent Social Security statement, her full benefit will be $2,100 per month. What is her monthly benefit if she begins claiming Social Security at age 64?
A)$1,430
B)$1,640
C)$1,560
D)$1,680

Answers

Answer:

It might be A

Step-by-step explanation:

but that's what I think

The time until recharge for a battery in a laptop computer under common conditions is normally distributed with mean of 270 minutes and a standard deviation of 50 minutes. a) What is the probability that a battery lasts more than four hours

Answers

Answer:

The answer is below

Step-by-step explanation:

The time until recharge for a battery in a laptop computer under common conditions is normally distributed with mean of 270 minutes and a standard deviation of 50 minutes. a) What is the probability that a battery lasts more than four hours b) What are the quartiles (the 25% and 75% values) of batterylife? c) c) What value of life in minutes is exceeded with 95% probability? (Roundthe answer to the nearest integer.)

Solution:

The z score is used to determine by how many standard deviations the mean is above or below the raw score. If the z score is positive then the raw score is above the mean while if the z score is negative then the raw score is below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma}\\ \\\mu=mean, \sigma=standard\ deviation[/tex]

Given μ = 270 minutes, σ = 50 minutes

a)

P(x > 4 hours) = P(x > 240 minutes)

[tex]z=\frac{x-\mu}{\sigma}\\ \\z=\frac{240-270}{50} =-0.6[/tex]

From the distribution table, P(x > 240) = P(z > -0.6) = 1- P(z < 0.6) = 1 - 0.2743 = 0.7257

c)  P(z > z*) = 0.95

1 - P(z < z*) = 0.95

P(z < z*) = 0.05

This corresponds to a z score of -1.645

[tex]z=\frac{x-\mu}{\sigma}\\ \\-1.645=\frac{x-270}{50} \\\\x=187.75 \ minutes[/tex]

For 75%, P(z < z*) = 0.75

This corresponds to a z score of 0.68

[tex]z=\frac{x-\mu}{\sigma}\\ \\0.68=\frac{x-270}{50} \\\\x=304 \ minutes[/tex]

c) For 25%, P(z < z*) = 0.25

This corresponds to a z score of -0.67

[tex]z=\frac{x-\mu}{\sigma}\\ \\-0.67=\frac{x-270}{50} \\\\x=236.5 \ minutes[/tex]

Zoe has 8 cups of whole-wheat flour. If each loaf of her favorite bread requires Three-fourths of a cup of whole-wheat flour, how many whole loaves of bread can she make using 8 cups?



A number line going from 0 to 8.

4 loaves
6 loaves
10 loaves
11 loaves

Answers

Answer: it’s either 10 on 6 imma tell you why I said those two

Explanation: The answer is 10 whole loaves.
We get this answer by dividing 8 by (3/4).
Which results in decimal points as 10.6.
Therefore meaning only 10 loaves were whole. And I said 6 because you have to divide 3/4 by 1/8 and it gives u 6

Answer:

10

Step-by-step explanation:

If 2c + 1 = 11, what is the value of 2c?

4
5
10
12

Answers

Answer:

10

Step-by-step explanation:

ur welcome

Answer:

10

Step-by-step explanation:

I just took the quiz soooooo yuh hope this helps

6. At 7:00 a.m., the temperature outside was 10°F below zero. By noon, it
rose by 17°F. At 6:00 p.m., the temperature dropped by 6°F. What was the
evening temperature? *
0 -33°F
O 13°F
O 1°F
O 33°F

Answers

Answer:

1° F

Step-by-step explanation:

10° below zero is equivalent to -10°.

Then if you add 17° to that, then you get 7°.

Then subtract 6°, giving you a final answer of 1° F

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