There are 5 pens in a container on your desk. Among them, 3 will write well but 2 have defective ink cartridges. You will select 2 pens (without replacement) to take to a business appointment. Select the most appropriate statement for each part (a-e) when considering calculating the probability that both pens are defective.
a. Let X: the number of defective pens selected. X is a random variable. [Select ]
b. For each pen chosen from the container, we can consider "Defective" as the success and "Working" as the failure since we are interested in both pens being defective. [ Select] -
c. X is well approximated by a Binomial Random Variable X-Bin(n=2. pi=2/5) True
d. If the first pen was replaced before the second pen was selected (sampling with replacement), then X would be very well approximated by a Binomial Random Variable X-Bin(n=2, pi=2/5) True
e. Had you been drawing 2 pens (without replacement) from a container of 25 pens, X would be better approximated by a Binomial Random Variable.

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Total Number of pens = 5

Number of defective pens = 2

Number of non-defective pens = 3

A.) number of defective pens selected :

X : {0, 1, 2}

It is possible that no defective pen will be selected ; 1 defective will be chosen or both pens are defective.

2.)

Defective as Success (since selecting a defective pen is the point of interest.

3.)

Since selection is done without replacement

Probability of success per selection is different for each selection ;

Number of defective = 2

Number of observations = 5

P(success on first selection) = 2/5

P(success on second selection) = 1/4

Hence, X is not well approximated by a binomial random variable.

4.) if selection is done with replacement ; then then the probability of success per selection will be the Same for each selection made. Hence, X will be well approximated by a binomial Random variable.

5.) If sampling is done without replacement, then the the hypergeometric function will be a more effective approximation.


Related Questions

Help this is trigonometry I think 35 points!!

Answers

Answer:

y = 16.3

Step-by-step explanation:

We would apply the formula for altitude of a right triangle which is given as:

h = √(xy)

Where,

h = 14

x = 12

y = y = ?

Plug in the values

14 = √(12*y)

14² = (√(12*y) (squaring both sides)

196 = 12*y

196/12 = 12y/12 (division property of equality)

16.3 = y (nearest tenth)

y = 16.3

pls just solve its 7th grade not hard :)

Answers

The solving is :

4x = 336
x= 84

CAN SOME PLEASE HELP ITS AN I EMERGENCY

Answers

Answer:

C=2πr=2·π·7.5≈47.12389

Answer:

94.247780 cm is the circumference of the circle

Step-by-step explanation:

Hope this helps

Stores often mark up items each year to cover inflation.
Last year, a CD at Juan's Tunes cost $12.95. This year,
the cost was marked up 8%. The store also gave anyone
who bought four CDs this
year a 10% discount. Explain
the steps to find the final cost for the four CDs this year.

Answers

Answer:

so you have $12.95. then you multiply it by 8% which gives you $13.986. Then you take 10% off of it, which gives you $12.5874.

Answer:

The new price would be 108% of last year’s price. Multiply the new price by 4 and then multiply that amount by 90% to find the sale price.

Step-by-step explanation:

sample response

The first side of a triangle is four inches longer than twice the
second side. The third side of the triangle is 5 inches shorter than
the sum of the other two sides. The perimeter is 72 inches. Find
the lengths of the three sides.

Answers

Answer:

1st Side: 27 inches, 2nd Side: 23/2, 3rd Side: 67/2

Step-by-step explanation:

Let's solve your problem step by step:

First side should be: 2x+4

Because 2 times the second side =, and 4 longer than that.

Second side should be: x

This is the base of the equation, since all the numbers depend on "x"

Third side should be: (3x+4)-5

Because x + x+4, and the third side is 5 shorter..

We add all and we get 72.

Solve for x.

x=23/2

Now, we can solve for other sides, by doubling it and adding 4.

This is answer is correct, I tried it. :)

Rectangles G and H are similar. If the area of rectangle G is 80, what is the area of rectangle H?

Answers

Answer:

20

Step-by-step explanation:

3. Find the value of x.
Need help will mark Brainliest

Answers

Answer:

x=22

Step-by-step explanation:

trust me

if the cube was Rolled 78 x and the nine appears 26 times what was the experimental probability of rolling a 9​

Answers

Answer:

1/3 = 0.3333 = 33.33% experimental probability of rolling a 9​.

Step-by-step explanation:

The experimental probability is given by the number of desired outcomes divided by the number of total outcomes, after a number of experiments is made.

In this question:

Cube rolled 78 times.

9 appeared 26 times

26/78 = 1/3 = 0.3333 = 33.33% experimental probability of rolling a 9​.

Explain the difference between (-5)squared and -5squared.

Answers

Answer:

The major difference between square and rectangle is that a square has all its sides equal whereas a rectangle has its opposite sides equal. In Geometry, we have learnt different types of shapes such as square, rectangle, cube, cone, cylinder, parallelogram, rhombus, and so on.

All these shapes can fall under any one of the categories such as two-dimensional shapes or three-dimensional shapes. All the shapes can share a few characteristics. But they have many different characteristics properties that differentiate the shapes from each other. In this article, let us discuss the difference between a rectangle and a square in detail.

Determine the no. of permutations
for the word PHOTOGRAPH​

Answers

Given:

The word is "PHOTOGRAPH​".

To find:

The no. of permutations for the given words.

Solution:

The total number of letters in the word PHOTOGRAPH is 10.

It is clear that P, H, O are twice and T, G, R, A are occurred once.

To find the total number of permutations, we need to divide the permutation of 10 letters by the permutation of repeated letters.

The total number of permutations for the given word is

[tex]Permutations=\dfrac{10!}{2!2!2!1!1!1!1!}[/tex]

[tex]Permutations=\dfrac{10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{2\times 2\times 2}[/tex]

[tex]Permutations=10\times 9\times 7\times 6\times 5\times 4\times 3\times 2\times 1[/tex]

[tex]Permutations=453600[/tex]

Therefore, the no. of permutations for the word PHOTOGRAPH is 453600.

Please please please answer this and show the steps. I’ll give Branliest to whoever replies first

Answers

Answer:

x = -3

y = 4

Step-by-step explanation:

distribute first

7x + 35 = 2y + 6

combine 'like terms'

7x - 2y = -29

do same steps for second equation

4x + 4y = 13 + 3x

x + 4y = 13

System of Equations:

7x - 2y = -29

x + 4y = 13

Multiply the first equation by 2 to eliminate the 'y-term'

  14x - 4y = -58    (Now add this to the second equation)

+  x + 4y = 13

  15x = -45

x = -3

Substitute -3 for 'x' to find 'y'

-3 + 4y = 13

4y = 16

y = 4

how many eighth notes are in a sixteenth note

Answers

Answer:

two sixteenth notes

Step-by-step explanation:

Answer:

1/2 of an eighth notes are in a sixteenth note

Step-by-step explanation:

2 sixteens = 1 eight

good luck, hope this helps :)

4k+1/2-2

Can Anyone help me

Answers

Answer:

4k-2/3

Step-by-step explanation:

Given that 6x – 7y = 22
Find y when x = -1
y =

Answers

Answer:

y = -4

Step-by-step explanation:

given x = -1

6x - 7y = 22

6(-1) -7y = 22

-6 - 7y = 22

-7y = 22 + 6

-7y = 28

y = -4

(Please heart and rate if you find it helpful, it's a motivation for me to help more people)

Apples and tangerines were sold in the ratio of 6 to 4.
40
tangerines were sold. How many fruits were sold?

Answers

Answer:

100.

Step-by-step explanation:

By proportion the number of apples sold  is (6/4) * 40

= 6 *10

= 60.

Total fruit = 40 + 60 = 100.

The answer would be 100 fruits were sold. 40+6(10)= 100

Latoya's softball team won 75%, or 18, of its game. Define a variable. Write and solve an equations to determine the number of games the team played.
Will give brainliest

Answers

75%=18
100%=?
If you divide 18 by 3=6
So 6 =25%
So 25%+75%=100%
Therefore
6+18=24=100%

So an equation would look like.
(18dividedby3)4=n
Good luck!

Answer:

18 / 3 * 4 = a

a = 24

Step-by-step explanation:

so we know that 18 is = to %75 but we need to know what %100 is, to figure this out lets find a common denominator

so we know that %75 of something is 3/4, and to double check, we can take the fraction 3/4 and divide it the way its written, bc thats what a fraction is, a small division problem

3 / 4 = 0.75 or 75/100 or %75

so now we know we have 3 out of 4 parts of something, to find out how big each part is, we divide the number (18) by how many pieces we have...

18 / 3 = 6

so each 1/4 is = to 6, now to figure out the whole, we multiply by how many pieces are in said whole, in this case by 4

6 * 4 = 24

so since we know that 6 is = to %25 and we multiplied 6 by 4, we can do the same to %25...

25 * 4 = 100

and have the whole

this is basically a detailed explanation of the other answer

hope this helps :)

expand the following expression by using the distributive method 7(10-3x))

Answers

Answer:

Step-by-step explanation:

7(10)-7(3x)

80-21x

Answer:

70+21x

Step-by-step explanation:

multiply the number  that outside on the (    ) for the numbers that are in side

4/5 ÷ 2/5 = ?????????​

Answers

Answer:

2

Step-by-step explanation:

4/5 divided by 2/5 is equal to

4/5 * 5/2

thats 20/10

thats 2

BRANLIEST PLSSSSSSSSS

3
Choose all the expressions that are equal to
A.
8
15
5
11
B.
7
12
+
6
C. 5
6
-
1
12
D.
5. 1+
E.
7
20
3
5

Answers

Answer:

the answers (D)

Step-by-step explanation:

Show mathematically why the ratio 15:10 is not equal to 10:15

Answers

Answer:

Hello here is my answer

Step-by-step explanation:

The 2 ratios are 15:10 and 10:15

multiply the numbers of the first ratio with the last number if the second ratio, which means,

15*15=225

10*15=150

we get 225:150

now we multiply the numbers of the second ratio with the last number if the first ratio.which means,

10*10=100

15*10= 150

now compare bot of them

225:150::100:150

we see that 225:150>100:150

hence proven that 15:10 is not equal to 10:15

give the name monomial, binomial, trinomial and the degree of the polynomial
x.

Answers

Answer:

Name: monomial

Degree: 1

Step-by-step explanation:

Name: monomial

Degree: 1

Step-by-step explanation:

x = Monomial (Since x is only 1 term)

Degree = 1

It is possible, through careful consideration of economic principles and interactions, to reach a state of equilibrium in practice.


Please select the best answer from the choices provided

T
F

Answers

Answer: False

Step-by-step explanation:

Economic equilibrium simply refers to a scenario where the economic forces are equal and balanced. It is the condition whereby the demand and the supply of goods and services are equal.

We should note that economic equilibrium is only theoretical. In reality, this isn't true as the market doesn't reach equilibrium, Eben though it moves towards it.

Therefore, the statement in the question is false.

Answer:

False

Step-by-step explanation:

24 - 3x Evaluate each expression if x = 5

Answers

Answer:

9

Step-by-step explanation:

24 - 3(5)

24 - 15

9

good luck, i hope this helps :)

Mr. D’Alton made some radium in his lab. He used kg of the radium every time he 5 2ran his experiment. If he did the experiment four times and had kg left, how much2 3 1radium did Mr. D’Alton make at first?

Answers

Answer:

no lo sé por eso te lo escribo en español

-7(-2w-2y+4) distributive property to remove the parentheses

Answers

Answer:

14w + 14y - 28

Step-by-step explanation:

-7(-2w - 2y + 4)

Distributive:

14w + 14y - 28

good luck, hope this helps :)

A car manufacturer announced that next year the price of a certain model car would increase by 3.5%. This year the price is $15,649 . The increase in the price of the car is $? The new price of the car is $?

Answers

The increase will be the original price x the increase rate.

15649 x 0.035 = $547.72

The new price would be original price + increase

15649 + 547.72 = $16,196.72

Which polynomial represents the quotient for the division problem shown?
-1
3
-4
-3
-7
2
7
9
-1
-9
-10
3
3
O A. 3.x2 – 7x+9
O B. - 3x² + 7x – 9
O C. 3.rº – 7x2 + 9x - 10
O D. 3.x® – 4x + 2x - 1

Answers

Answer:

It's A

Step-by-step explanation:

-10 is the reminder and is not included in the quotient which is the bottom numbers.

WHAT I CAN DO
Activity 4: Solve the following problem.
1. Ellen has 2 chicken eggs and 3 quail eggs in a tray. What is the ratio of quail eggs
to chicken eggs?
2. A basket contains 75 mangoes. What is the ratio of the basket to the total
number of mangoes?
3. Kris bought 2 pairs of shoes and 5 pairs of socks. What is the ratio of shoes to
socks?
4. Rina planted 15 tomato seedlings and 20 pechay seedlings. What is the ratio of
pechay seedlings to tomato seedlings?
5. What is the ratio of vowel letters to consonant letters in your full name?​

Answers

Answer:

1. 3:2

2. 1:75

3. 2:5

4. 20:15 or 4:3

5. count the vowel letters and consonant letters of your full name then write it according to the ratio of the numbers of vowel and consonant letters

sin(30)=1
the solution set is{}?

Answers

Answer:

.5

Step-by-step explanation:

sin30 = 0.5 when multiplied by 1 it stays the same

Candice, Jill, and Kivo raised money for their school's

golf team through a bake sale. They sold over-stuffed

brownies for $4.50 each, and they sold gourmet

cupcakes for $6 each. After selling 125 baked goods,

they collected $633 total. How much of the total did the

trio collect from selling the cupcakes?

$351

$282

$150

$78

$47

Answers

I think it’s 150 I’m not sure tho not 100%
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