6-30. Suppose that 1 in 1000 bottle cups of Zesty Cola contains the letterZprinted on its underside.

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6-30. Suppose that 1 in 1000 bottle cups of Zesty Cola contains the letterZprinted on its underside. This special bottle cap is redeemable at any store selling this cola for a special prize. If X is the number of bottles of Zesty you need to purchase to obtain a Z-cap, determine the probability that fewer than 10 bottles will need to be purchased. What is the average number of bottles needed to be purchased to get a Z-cap?

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