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ou are asked to match three songs with the performers who made those songs famous. If you guess, the probability distribution for the number of

ou 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 0.368 0.444 0.007 0.181
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

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