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Customers depart from a bookstore according to a Bernoulli process with parameter p = 0.15 (per minute). Each customer buys a book with probability 2/3, independent of everything else. 1. Find the distribution of the time until the first sale of a book. 2. Find the probability that no books are sold between 1:00–4:00 pm on some particular day. 3. Find the expected number of customers who buy a book between 1:00–4:00 pm on some particular day.

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Customers depart from a bookstore according to a Bernoulli process

with parameter p = 0.15 (per minute). Each customer buys a book with probability 2/3, independent of everything else.
1. Find the distribution of the time until the first sale of a book.
2. Find the probability that no books are sold between 1:00–4:00 pm on some particular day.
3. Find the expected number of customers who buy a book between 1:00–4:00 pm on some particular day.

 
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