Suppose that the probability for a student to get a free lift to a university on

Question

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.

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

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

c)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 = Prob of getting a free lift = 0.4

X is binomial

a) P(X=2 in 7) =0.2613

b) P(3rd day success) = 0.6(0.6)(0.4) = 0.144

c) E(Y) = np =20(1-0.4)20

= 240

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