Question

In: Statistics and Probability

Given the probability distributions shown to the​ right, complete the following parts. a. Compute the expected...

Given the probability distributions shown to the​ right, complete the following parts.

a. Compute the expected value for each distribution.

b. Compute the standard deviation for each distribution.

c. Compare the results of distributions A and B.

a. What is the expected value for distribution​A?

μ=

​(Type an integer or decimal rounded to three decimal places as​ needed.)

What is the expected value for distribution​ B?

μ=

​(Type an integer or decimal rounded to three decimal places as​needed.)

b. What is the standard deviation for distribution​ A?

σ=

​(Type an integer or decimal rounded to three decimal places as​ needed.)

What is the standard deviation for distribution​ B?

σ=

​(Type an integer or decimal rounded to three decimal places as​ needed.)

c. Use these results to compare distribution A and distribution B.

A.Distribution A is right​-skewed, distribution B is left​-skewed.

B.Distribution A is​ symmetric, distribution B is symmetric.

C.Distribution A is​ symmetric, distribution B is right​-skewed.

D.Distribution A is left​-skewed, distribution B is symmetric.

E. Distribution A is left​-skewed, distribution B is right​-skewed.

Distribution A

Distribution B

X

​P(X)

X

​P(X)

0

0.03

0

0.50

1

0.12

1

0.18

2

0.17

2

0.17

3

0.18

3

0.12

4

0.50

4

0.03

Solutions

Expert Solution

Solution:

The mean and standard deviation of the distribution A are:

a. What is the expected value for distribution​A?

​(Type an integer or decimal rounded to three decimal places as​needed.)

What is the expected value for distribution​ B?

​(Type an integer or decimal rounded to three decimal places as​needed.)

b. What is the standard deviation for distribution​ A?

​(Type an integer or decimal rounded to three decimal places as​needed.)

What is the standard deviation for distribution​ B?

​(Type an integer or decimal rounded to three decimal places as​needed.)

c. Use these results to compare distribution A and distribution B.

Answer: E. Distribution A is left-skewed, distribution B is right-skewed.

orchestra answered 1 year ago
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