Say X is the number of days a registered student goes to campus. You are given t

Question

Say X is the number of days a registered student goes to campus. You are given the following pmf table for X, but one of the values is missing. a. Assuming the pmf is a valid one, what is the probability that a registered student goes to campus 5 days per week. b. What is the probability that a student goes to campus at most 1 day per week? c. If students are registered for fully online courses, they do not have to physically go to campus What is the probability that a student is only enrolled in online courses?

Explanation / Answer

a) Sum of all probabiliy = 1

so, 0.10 + 0.15 + 0.15 + 0.30 + 0.20 + P(X = 5) = 1

or, P(X = 5) = 1 - 0.9

or, P(X = 5) = 0.1

b) P(X < 1) = P(X = 0) + P(X = 1)

                  = 0.10 + 0.15

                  = 0.25

c) P(X = 0) = 0.10

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