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In: Statistics and Probability

A dishwasher has a mean lifetime of 12 years with an estimated standard deviation of 1.25...

A dishwasher has a mean lifetime of 12 years with an estimated standard deviation of 1.25 years. Assume the lifetime of a dishwasher is normally distributed. Round the probabilities to four decimal places. It is possible with rounding for a probability to be 0.0000.

a) State the random variable. rv X = the lifetime of a randomly selected dishwasher Correct

b) Find the probability that a randomly selected dishwasher has a lifetime of 8.25 years or more.

c) Find the probability that a randomly selected dishwasher has a lifetime of 12.25 years or less.

d) Find the probability that a randomly selected dishwasher has a lifetime between 8.25 and 12.25 years.

e) Find the probability that randomly selected dishwasher has a lifetime that is at most 8.875 years.

f) Is a lifetime of 8.875 years unusually low for a randomly selected dishwasher? Why or why not? Select an answer

g) What lifetime do 58% of all dishwashers have less than? Round your answer to two decimal places in the first box. Put the correct units in the second box.

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orchestra answered 2 years ago
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