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. 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

this is a binomial distribution

a)

P(x=2) = 5C2 * 0.4^2 * 0.6^5-2 = 0.3456

b)

geometric distribution with p = 0.4

Prob = 0.4 * 0.6^3-1 = 0.144

c)

expected value of binomialk distribution = 0.4 * 20 =8

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