QMS 102 Lecture Notes - Debit Card, Bar Chart, Poisson Point Process

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Cars arrive at a ace car wash at corner bloor and yonge at an average rate of 1. 5 cars every 10 minutes. 45% of the customers pay by debit card, 25% of all customers pay by credit card and the rest pay by cash. Below is a bell shaped histogram of a the times required to manually spray and vacuum cars before entering the automatic car wash facility. When cars emerge from the wash the drying job is inspected for quality, see the bar chart below. All events and activities are independent of each other. On the back of the previous page is information about the ace car wash. a. Estimate the maximum time taken by the fastest 20% of the car preparation times (manually spray and vacuum )? b. In a random selection of 20 cars, what is the probability that less than 10 of them will pay for their car wash with a debit or credit card? e.

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