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In: Statistics and Probability

A car saleswoman has worked for the same car sales company for many years. Based on...

A car saleswoman has worked for the same car sales company for many years. Based on her track record, her selling prices of cars can be modelled by a normal distribution with mean $12,000AUD with standard deviation $2,000AUD. (a.) What is the probability that the car saleswoman sells a car that is more expensive than $13,500AUD? (b.) During a given month, 14 customers buy a car from her. What is the probability that at least 3 of them bought a car that is cheaper than $13,500AUD? Carefully state the assumptions of your solution. (c.) The car saleswoman has a bonus plan that entitles her to a bonus if she sells 4 cars that each costs $13,500AUD or more during a month. What is the probability that she receives the bonus when the 8th car of the month is sold?

Solutions

Expert Solution

bonus scheme is applied when 4 th car of cost $13500 or more sold . Hence 'r' is taken as 4

orchestra answered 1 year ago
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