Question: On average 40 customer groups come to a coffee restaurant in one hour. Fifty per cent of groups have a group size of one (so,

On average 40 customer groups come to a coffee restaurant in one hour. Fifty per cent of groups have a group size of one (so, in fact, they are single). One-fourth of the groups are couples. The other one-fourth have a group size of 3.

a. Find the expected number of customers coming in 30 minutes.

b. Find the probability that a couple comes before a single person.

c. Find the probability that no couple comes in 5 minutes.

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