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What is the average worth of total sales

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A department store has 3 doors. Arrivals at each door form Poisson processes with rates λ1 = 110, λ2 = 90, λ3 = 160 customers per hour. 30% of all customers are male. The probability that a male customer buys something is 0.80, and the probability of a female customer buying something is 0.10. An average purchase is 4.50 euros.

(a) What is the average worth of total sales made in a 10 hour day?

(b) What is the probability that the third female customer to purchase anything arrives during the first 15 minutes? What is the expected time of her arrival?

Reference no: EM132907141

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