# [40 pts.] An interior designer is currently remodeling an old restaurant. Buying new chairs would...

###### Question:

[40 pts.] An interior designer is currently remodeling an old restaurant. Buying new chairs would cost over $1,000, while re-upholstering chairs will cost under$100. Since the budget is limited, the interior designer decided to upholster the chairs. Suppose the restaurant has 20 tables with 4 chairs each 3. Each chair requires 34 vards of fabric. The fabric used to upholster the chairs has an average of 03 flaws per vard Re-upholstered chairs can be assumed to be independent and the probabity of finding a re-upholstered chair with flaws can be assumed to be constant. For each part of the problem, include (1) the definition of your random variable, (2) distribution and set of parameters, and (3) solution to the exercise What is the probability of observing at least one flaw in a re-upholstered chair? How many chairs in average need to be inspected before a re-upholstered chair with at least one flaw is found? a. b. c. What is the probability of observing less than three flawed chairs (ie, chairs with at least one d. flaw) in the restaurant? What is the probability that the fourth flawed chair is found on the ninth inspected chair? What is the standard deviation of the interval between flaws? e.

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