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. What is the probability that x will be at least 3 in Distribution A and Distribution B? d. Compare the results of distributions A and B.		Distribution A	Distribution B
xi	P(X=xi)	xi	P(X=xi)
0	0.04	0	0.49
1	0.12	1	0.22
2	0.13	2	0.13
3	0.22	3	0.12
4	0.49	4	0.04

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Part 1

a. What is the expected value for distribution A?

=enter your response here

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

Part 2

What is the expected value for distribution B?

=enter your response here

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

Part 3

b. What is the standard deviation for distribution A?

=enter your response here

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

Part 4

What is the standard deviation for distribution B?

=enter your response here

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

Part 5

c. What is the probability that x will be at least 3 in Distribution A?

P(x3)=enter your response here

(Type an integer or a decimal. Do not round.)

Part 6

What is the probability that x will be at least 3 in Distribution B?

P(x3)=enter your response here

(Type an integer or a decimal. Do not round.)

Part 7

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

A.

Distribution A is symmetric, distribution B is symmetric.

B.

Distribution A is symmetric, distribution B is

left-skewed.

C.

Distribution A is

right-skewed,

distribution B is symmetric.

D.

Distribution A is

right-skewed,

distribution B is

left-skewed.

E.

Distribution A is

left-skewed,

distribution B is

right-skewed