7.In a binomial distribution n = 10 and p = 0.45. Find the probabilities of the following events: (Round the final answers to 3 decimal places.)

a. x = 2.

Probability

b. x 2 (the probability that x is equal to or less than 2).

Probability

c. x 3 (the probability that x is equal to or greater than 3).

Probability

3. You are asked to match three songs with the performers who made those songs famous. If you guess, the probability distribution for the number of correct matches is:

Probability	0.373	0.436	0.008	0.183
Number correct	0	1	2	3

What is the probability you will get:

a. Exactly one correct? (Round the final answer to 3 decimal places.)

b. At least one correct? (Round the final answer to 3 decimal places.)

c. Exactly two correct? (Round the final answer to 3 decimal places.)

d. Compute the mean, variance, and standard deviation of this distribution. (Round the final answers to 3 decimal places.)

Mean Variance 2 Standard deviation