(3) Suppose that the probability for a student to get a free lift to a universit

Question

(3) Suppose that the probability for a student to get a free lift to a university on any morning is 0.4. The student needs to get a taxi if she/he does not get a lift and she/he needs to pay 20 QAR for a Taxi.

Determine the probability that in a week (five days), the student will get a lift only twice?

Determine the probability that the student will get his/her first lift on the third day?

Suppose a given month with 20 days. What is expectation of the amount of money that the student needs to pay in a month.

Explanation / Answer

P(X=2) in binomial 5 with p = 0.4 = 0.3456

P(lift on third day) = 0.6(0.6)(0.4) = 0.144

If Y is the no of days paid for a taxi

Y has prob 0.6

Expected cost = 0.6(20) (20) = 240

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