Customers leave an establishment as a Poisson process with rate λ per hour. Each customer makes a purchase with probabil

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answerhappygod
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Customers leave an establishment as a Poisson process with rate λ per hour. Each customer makes a purchase with probabil

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Customers leave an establishment as a Poisson process with rate
λ per hour. Each customer makes a purchase with probability
p.
a) What is the probability density of the time to the first
sale?
b) What is the probability that nothing is sold the first hour?
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