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Customers arrive at a local grocery store at an average rate of 2 per minute. (a) What...

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Advance Math

Customers arrive at a local grocery store at an average rate of2 per minute.

(a) What is the chance that no customer will arrive at the storeduring a given two minute period?

(b) Since it is a “Double Coupon” day at the store,approximately 70% of the customers coming to the store carrycoupons. What is the probability that during a given two-minuteperiod there are exactly four (4) customers with coupons and one(1) without coupons?

(c) Divide one given hour into 30 two-minute periods. Supposethat the numbers of customers arriving at the store during thoseperiods are independent of each other. Denote by X the number ofthe periods during which exactly 5 customers arrive at the storeand 4 of them carry coupons. What is the probability that X is atleast 2?

(d) What is the probability that exact 4 customers coming to thestore during a given two-minute period carry coupons?

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