Tom is making calls door to door in a neighborhood of 45 houses to give out...

Tom is making calls door to door in a neighborhood of 45 houses to give out gift cards for a new supermarket. He leaves a gift card only on those calls for which the door is answered. On any call the probability of the door being answered is 40%.

a) Find the probability that Tom gives away at most 2 gift cards in the first 5 calls.

b) Given that he has given away exactly 2 gift cards on his first 5 calls, find the probability that Tom will give away the 5th gift card on the 10th call.

c) Find the expected total number of cards given out when he is done.

Solutions

Expert Solution

there is solution attached regarding the problem this follow binomial distribution in case

A. It follow binomial distribution with n=5, and p=2/5 we get answers P(<=2)=0.682

B , probability of 5th gift card awayto 10th call when guven exactly 2 gift on first 5 calls =P(B/A) =0.201.

orchestra answered 1 year ago

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