with the probability that value occurs. Suppose the probability distribution for

Question

with the probability that value occurs. Suppose the probability distribution for X = number of jobs held during the past year for students at a school is as follows: Find P(X lessthanorequalto 2), the probability that a randomly selected student held two or fewer jobs during the past year. Find the probability that a randomly selected student held either one or two jobs during the past year. Find P(X > 0), the probability that a randomly selected student held at least one job during the past year.

Explanation / Answer

a) P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2)

                  = 0.14 + 0.37 + 0.29

                  = 0.8

b) P(X = 1 or X = 2) = P(X = 1) + P(X = 2)

                                = 0.37 + 0.29

                                = 0.66

c) P(X > 0) = 1 - P(X = 0)

                  = 1 - 0.14

                  = 0.86

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