Solved: Geometric or not? Determine whether each of the following scenarios describes a

Chapter 6, Problem 95

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QUESTION:

Geometric or not? Determine whether each of the following scenarios describes a geometric setting. If so, define an appropriate geometric random variable. (a) A popular brand of cereal puts a card with 1 of 5 famous NASCAR drivers in each box. There is a 1/5 chance that any particular drivers card ends up in any box of cereal. Buy boxes of the cereal until you have all 5 drivers cards. (b) In a game of 4-Spot Keno, Lola picks 4 numbers from 1 to 80. The casino randomly selects 20 winning numbers from 1 to 80. Lola wins money if she picks 2 or more of the winning numbers. The probability that this happens is 0.259. Lola decides to keep playing games of 4-Spot Keno until she wins some money

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QUESTION:

Geometric or not? Determine whether each of the following scenarios describes a geometric setting. If so, define an appropriate geometric random variable. (a) A popular brand of cereal puts a card with 1 of 5 famous NASCAR drivers in each box. There is a 1/5 chance that any particular drivers card ends up in any box of cereal. Buy boxes of the cereal until you have all 5 drivers cards. (b) In a game of 4-Spot Keno, Lola picks 4 numbers from 1 to 80. The casino randomly selects 20 winning numbers from 1 to 80. Lola wins money if she picks 2 or more of the winning numbers. The probability that this happens is 0.259. Lola decides to keep playing games of 4-Spot Keno until she wins some money

ANSWER:

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We have to determine whether each of the following scenarios describes a geometric setting. If so, define an appropriate geometric random variable.

 

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