Given the probability distributions shown to theright, 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 DistributionB?

d. Compare the results of distributions A and B.

Distribution A Distribution B

x_i P(X= x_i) x_i P(X = x_i)

0 0.03 0 0.51

1 0.11 1 0.20

2 0.15 2 0.15

3 0.20 3 0.11

4 0.51 4 0.03

(Round decimals three places asneeded.)

a. What is the expected value for distributionA?

b. Compute the standard deviation for each distribution.

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

d. Compare the results of distributions A and B.