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16. The number of tests a student takes in one day during finals week is a random variable with the following probability distribution: X P(X)

16. The number of tests a student takes in one day during finals week is a random variable with the following probability distribution:

X

P(X)

0

0.05

1

0.20

2

0.40

3

0.25

4

0.05

5

0.05

a. Find the probability that a student will take 3 or more tests in one day during finals week.

b. Determine the mean and the variance of the number of tests students have to take in one day during finals week.

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