Question

a company has accumulated statistics over the past years to

determine the average waiting time (in minutes) on major bus routes depending on the time of

day. Here are the statistics observed:

Waiting time conditional upon period of the day

Wait<5

(A)

5 ≤ ???? ≤ 15

(B)

wait≥ 15

(C)

Rush hour(R) 64% 32% 4%

Midday(M) 20% 65% 15%

Evenings(E) 10% 60% 30%

Distribution of the users

Proportion of total users

Rush Hours(R) 70%

Midday(M) 25%

Evenings(E) 5%

A)(1 mark)Find a partition for event A

B)Find the probability that a person will wait less than 5 minutes

C)Knowing a given person has waited at least 15 minutes, find the probability that this

person took the bus in the evening.

Answer 1

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