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The Average Life Expectancy of Dishwashers Produced by a Company

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Essay

The average life expectancy of dishwashers produced by a company is 6 years with a standard deviation of 8 months.Assume that the lives of dishwashers are normally distributed.
a.What is the probability that a randomly selected dishwasher will have a life expectancy of at least 7 years?
b.Dishwashers that fail operating in less than 4years will be replaced free of charge.What percent of dishwashers are expected to be replaced free of charge?
c.What are the minimum and the maximum life expectancy of the middle 95% of the dishwashers' lives? Give your answer in months.
d.If 155 of this year's dishwasher production fail operating in less than 4 years and 4 months,how many dishwashers were produced this year?


Definitions:

Quantity Demanded

The total amount of a good that consumers are willing to purchase at a given price level in a market.

Demand Curve

A graphical representation depicting the relationship between the price of a good and the quantity demanded by consumers, usually showing an inverse correlation.

Income Change

A variation in the amount of earnings received by a household or individual, which could arise from sources such as wages, investments, or benefits.

Price Change

Refers to the variance in the cost of goods or services over time, which can be an increase or a decrease.

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