8. Customers enter a department store at the rate of three per minute, in accordance with a...

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8. Customers enter a department store at the rate of three per minute, in accordance with a Poisson process. If 30% of them buy nothing, 20% pay cash, 40% use charge cards, and 10% write personal checks, what is the probability that in five operating minutes of the store, five customers use charge cards, two write personal checks, and three pay cash?

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