Given the following probability distributions:
Distribution C X P{X = Xi)
0 1 2 3 4
0 0.20 0.20 0.20 0.20
Distribution D X P{X = Xi)
0 1 2 3 4
0 0.10 0.40 0.20 0.10
A. Compute the expected value for each distribution.
B. Compute the standard deviation for each distribution.
C. Compare the results of distributions C and D.

Answers

Answer 1

Answer:

Step-by-step explanation:

The expected value of this distribution will be the Mean

upon calculation

For the distribution of C

1)   P(x=xi)  0    1          2        3       4

              0    0.20   0.20  0.20  0.20

[tex]Mean = Pi*xi[/tex]

           = 0*0+1*0.2+2*0.2+3*0.2+4*0.2

Mean    = 2

2) Standard deviation of C

        [tex]\sqrt{(xi-mean)^2 *P(xi)}[/tex]

        = 1.09

For the distribution of D

1)       P(x=xi)    0    1       2      3      4

                     0    0.1   0.4   0.2  0.1

[tex]Mean = Pi*xi[/tex]

          = 1.9

2) Standard deviation

       = 0.984

Upon comparing the result we observe that

C has greater expected value than D

C has greater standard deviation than D which means it is more spreading of the given data than D.


Related Questions

Kelly needs to buy 5 notebooks and 3 folders for school. If notebooks cost $6 and folders cost $2, how much money does Kelly need for school supplies?

Answers

Answer:

$36

Step-by-step explanation:

Given that,
1 notebook costs $6
1 folder costs 2$
Therefore, the cost of 5 notebooks= 6X5 (six times five) =$30
Similarly, the cost of 3 folders= 2X3 (two times three) =$6
Total amount= $30+$6 = $36
So the total amount Kelly needs is 36 dollars

estimate the product choose a method 63 * 18 ​

Answers

Answer:

[tex]the \: product : 63 * 18 = 63 \times18 \\ 63 * 18 = 1,134.[/tex]

If the absolute value of the correlation is approximately one, then the points lie close to a line that slopes upward or downward?

Answers

Answer:

if it is positive then it goes upward and if negative it goes downward..so if it is approximately 1 then it will be constant or straight...

how many 3/8 " slices are in a block of cheese that is 5 " inches long?​

Answers

there is a lot to be honesty

How many solutions does 49m+9=49m+83 have

Answers

None. You cancel out 49m on both sides and get 9 = 83, that is not true so there aren't any solutions.

An item on sale costs 40% of the original price. If the original price was $75, what is the sale price?

Answers

Answer:

$45

Step-by-step explanation:

75 * 0.40= 30

75-30= 45

2) Michelle was 3 miles from home. 2 hours later, she was 15 miles from home.
What is her speed?

Answers

6 MPH

If she was 3 miles from home already, you would subtract 3 from 15 and you would get 12. Divide 12 by 2 and you get 6. Therefore she would be moving at a pace of 6 MPH.

What is 15-4x=10x+45?

Answers

Answer:

-15/7

Step-by-step explanation:

Answer:

-15 ⁷

Step-by-step explanation:

You must be at least 48 inches tall to ride an amusement park ride, and your little sister is 39 inches tall. How
many inches i must she grow before she may ride the ride?

Whats the inequality ?

Answers

Answer:

9

Step-by-step explanation:

48-39=9

Answer:

9

Step-by-step explanation:

person above me is correct

Determine if the rates are equivalent.explain your reasoning 25 hours in 5 days 8 hours in 2 days

Answers

Answer:

No they are not equal

Step-by-step explanation:

25/5 and 8/2 are not equal 25/5 is equal to 5 and 8/2 is equal to 4.

Hope this helps☺️

g A spotlight on the ground is shining on a wall 20m away. If a woman 2m tall walks from the spotlight toward the building at a speed of 0.8m/s, how fast is the length of her shadow on the building decreasing when she is 4m from the building

Answers

Answer:

0.3 m/s

Step-by-step explanation:

[tex]\dfrac{dx}{dt}=\text{Speed of person}=0.8\ \text{m/s}[/tex]

As the two triangles in the diagram are similar to each other we have

[tex]\dfrac{y}{12}=\dfrac{2}{8}\\\Rightarrow y=12\times \dfrac{2}{8}\\\Rightarrow y=3\ \text{m}[/tex]

Again as the triangles are similar we have

[tex]\dfrac{y}{2}=\dfrac{12}{12-x}\\\Rightarrow x=12-\dfrac{24}{y}[/tex]

Differentiating the above equation with respect to time we get

[tex]\dfrac{dx}{dt}=\dfrac{-24\times-1}{y^2}\dfrac{dy}{dt}\\\Rightarrow \dfrac{dy}{dt}=\dfrac{dx}{dt}\times\dfrac{y^2}{24}\\\Rightarrow \dfrac{dy}{dt}=0.8\times \dfrac{3^2}{24}\\\Rightarrow \dfrac{dy}{dt}=0.3\ \text{m/s}[/tex]

The speed at which the shadow is changing is 0.3 m/s.

i don’t have timeee plsss hurry!

Answers

Answer:

there is no remainder but its 11

Answer:

Quotient is 11 and the remainder is 0

Step-by-step explanation: 143÷13 is 11 so therefore there would be no remainder :)

Can someone help me with this

Answers

Answer:

2 1/8 = h

2 1/2 = k

2 5/8 = L

1 7/8 = g

1 5/8 = e

2 3/4 = m

1 1/2 = d

2 1/4 = I

1 3/8 = c

2 7/8 = n

1 1/8 = a

Step-by-step explanation:

t is no more than 2 units from 9

Answers

Answer:

11 or 7

Step-by-step explanation:

9 + 2 = 11

9 - 2 = 7

Factor the polynomial function over the complex numbers.



f(x)=x4−x3−2x−4



Enter your answer in the box.

f(x)=

Answers

Answer:

2

Step-by-step explanation:

Given function

f(x)=x⁴−x³−2x−4

Factoring the polynomial

x⁴−x³−2x−4 = (x⁴−4) − (x³+2x) =(x² + 2)(x² - 2) - x(x² + 2) =(x² + 2)(x² - x - 2) =(x + i√2)(x - i√2)(x - 2)(x + 1)

As we see there are 2 complex factors

Answer:

(x+1)(x-2)(x+i√2)(x-i√2)

Step-by-step explanation:

If six pieces come off of a hot press, find the probability that two are Grade A, three are Grade B, and one is a Cull.

Answers

Step-by-step explanation:

Given data:

No of pieces = 6

Grade A = 2

Grade B = 3

Cull = 1.

Solution:

Probability that two are Grade A

P = 2/6

= 0.33

Probability that 3 are Grade B

P = 3/6

= 0.5

Probability that 1 is a cull

P = 1/6

= 0.17

Label these on a number line below

Answers

Answer:

You know there is a video to help and there is hints in khan Academy.

Step-by-step explanation:


The sum of three numbers is 15. The sum of the first number and three times the second number is 15. The sum of the second number and
the third number is 8. What are the three numbers?

Answers

Answer:

Im not sure if this is correct

x=7

y=8/3

z=16/3

Step-by-step explanation:

The three equations are

x+y+z=15

x+3y=15

y+z=8

you can use substitution for the first and third equation so it would be

x+8=15

x=7

then use sub for the second equation

7+3y=15

3y=8

y=8/3

and you can finish by using sub for the third equation

8/3+z=8

3z=16

z=16/3

I hope this is correct

The length of Amy's rectangular kitchen is 12 feet.  If the area of the room is at least 96       square feet, what is the smallest width the room could have? Show your work

Answers

Answer:

8 feet is the shortest possible with the room could have

Step-by-step explanation:

12×8=96

Answer:

8 is the smallest width the room could be

Step-by-step explanation:

s represents the number that is the smallest the room could be

12s = 96

divide both sides by 12

12s/12 = 96/12

s = 8

Jane earns $280 per week. Of her salary, 231% goes to taxes. After taxes, she puts 50% in savings and keeps 50% for spending. Of her
spending money, she uses 35% for food. About how much money does Jane spend on food each week?
A $26.22
B. $19.60
C. $23.10
D. $37.61

Answers

Answer:

i think its A. or D.

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

0.2325 times 280 is 65.1

280-65.1

214.9

214.9 divided by 2

107.45

107.45 times 0.35

37.6075 rounded to 37.61

Help me
I will mark is the most brilliant answer

Answers

Answer:

Number one is D/12.5

Step-by-step explanation:

correct me if im wrong plz

The correct answer is 12.5 , its 12.5 because you have to divide 3.75 by .3

There were 600 people at a play. The admission price was ​$3 for adults and​ $1 for children. The admission receipts were ​$1,160.
How many adults and how many children​ attended? Use the elimination method.
A. 290 adults and 310 children
B. 160 adults and 440 children
C. 320 adults and 280 children
D. 280 adults and 320 children

Answers

answer: D. 280 adults and 320 children

Can somebody answer this Asp please

Answers

Answer:

the answer is the third one C

5/6%1/3 math question

Answers

Answer:

0.277(continued)

Step-by-step explanation:

how many gallons is in 152 cups​

Answers

Answer:

9.5

Step-by-step explanation:

You're welcome have a nice

If ĐPQR = 50°, what is the measure of its complement?

Answers

Answer:

The measure of its complement is 40°

Step-by-step explanation:

The sum of the measures of the complementary angles is 90°If the measure of an angle is , then the measure of its complement is 90° - x°

∵ The measure of angle PQR equal 50 degrees

m∠PQR = 50°

∵ Angle x is the complement angle of angle PQR

→ That means the sum of the measures of angle x and angle PQR is 90°

m∠x + m∠PQR = 90

→ Substitute measure of angle PQR by 50°

∴ m∠x + 50 = 90

→ Subtract 50 from both sides

∴ m∠x + 50 - 50 = 90 - 50

m∠x = 40°

The measure of its complement is 40°

A conical water tank with vertex down has a radius of 11 feet at the top and is 20 feet high. If water flows into the tank at a rate of 10 ft3/minft3/min, how fast is the depth of the water increasing when the water is 12 feet deep?

Answers

Answer:

0.073 ft/min

Step-by-step explanation:

The radius of the tank = 11 feet and the height of the tank = 20 feet. The depth of water = h = 12 feet, let r be the radius of the water, hence:

[tex]\frac{r}{h}=\frac{11}{20}\\ \\r=\frac{11}{20}h\\ \\The \ volume\ of\ the \ tank\ is:\\\\V = \frac{1}{3} \pi r^2 h=\frac{1}{3}\pi (\frac{11}{20}h)^2.h=\frac{121}{1200}\pi h^3 \\\\Given\ that\ rate=\frac{d}{dt}(V)= 10ft^3/min\\\\\frac{dV}{dt}= \frac{d}{dt}( \frac{121}{1200}\pi h^3)\\\\\frac{dV}{dt}=\frac{121}{1200}\pi (3h^2\frac{dh}{dt})\\\\\frac{dV}{dt}=\frac{121}{400}\pi h^2(\frac{dh}{dt})\\\\Given\ water\ is\ 12ft\ deep, i.e.\ h=12.Substituting:\\\\[/tex]

[tex]10=\frac{121}{400}\pi (12^2)\frac{dh}{dt} \\\\\frac{dh}{dt} =0.073\ ft/min[/tex]

Five less than twice a number is ten

Answers

Nine

“five less” than “twice a” number is “nine”.p-by-step explanation:


find the value of
sin 0.4​

Answers

Answer:

In radians: 0.3894

In degrees: 0.00698

Step-by-step explanation:

Plug it into a calculator.

3.7 x 10 to the power of 6 written in decimal form

Answers

Answer:

3,700,000

Step-by-step explanation:

Other Questions
Xbox or Playstation? I wanna know why with a valid reason {:^) What effect does waste water treatment have on land guys can u guys help me write the program plz 01:43:54 When an author uses actions, thoughts, and speech to show the reader who a character is, the author is using be Who was named the President of the "gran" Republic?O Chistopher ColumbusAmerigo VespucciMarco PoloO Simon Bolivar can sometime help me please? The length of a garden is 10 feet longer than three times the width. The perimeter of the garden is 240 feet. Find the length and the width of the garden. You paint 1/3 of a wall in 1/4 hour. At that rate, how long will it take you to paint onewall? Select the correct text in the passage. (Anything with -+-example-+- are the choices)In this excerpt from The Nightingale and the Rose by Oscar Wilde, which two sentences contain a conflict?--+--"She said that she would dance with me if I brought her red roses," cried the young Student; "but in all my garden there is no red rose."From her nest in the holm-oak tree the Nightingale heard him, and she looked out through the leaves, and wondered.--+--"No red rose in all my garden!" he cried, and his beautiful eyes filled with tears. "Ah, on what little things does happiness depend! --+--I have read all that the wise men have written, and all the secrets of philosophy are mine, yet for want of a red rose is my life made wretched."--+---"Here at last is a true lover," said the Nightingale. --+--"Night after night have I sung of him, though I knew him not: night after night have I told his story to the stars, and now I see him.--+-- His hair is dark as the hyacinth-blossom, and his lips are red as the rose of his desire; but passion has made his face like pale ivory, and sorrow has set her seal upon his brow." solve the problem cos15 Are these two picures Chemical, Physical, or both Chemical and Physical changes? During the Revolutionary War, the Americans had support from France and Spain. These alliances helped the Americans defeat theBritish byOA. forcing British generals to hire mercenary troops.OB. forcing the British to fight battles around the world.OC. allowing the Continental Army to draft French troops.OD. requiring Spanish banks to lend money to Congress. Which of these relations is a function please helpppppppppp me Who would benefit from workers compensation, which was one aspect of Robert La Follettes Wisconsin Idea? $25,405.56-$7,983.12 HELP ME WITH MY HOMEWORK PEOPLE!1. There are 24 boys in a classroom, and there are 30 girls. Write a ratio for this number.2. There are a total of 330 people in the school. Write a fraction that represents the number of student is the class out of the school.MAKE SURE YOU HAVE CORRECT ANSWERS! IF NOT, YOU WILL BE REPORTED! I NEED HELP ASAP!!! Which statement best describes a stanza? helpp ill mark u as brain list point a and b are plotted on the coordinate grid below