A what is the probability that the bookstore sells no book, Basic Statistics

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A what is the probability that the bookstore sells no book

Customers arrive at the neighborhood bookstore according to a Poisson process with an average rate of 10 customers per hour. Independent of other customers, each arriving customer buys a book with probability 1/8.

a. What is the probability that the bookstore sells no book during a particular hour?

b. What is the PDF of the time until the first book is sold?

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