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A dishwasher has a mean lifetime of 5 years with an estimated standard deviation of 2 years. The lifetime of a dishwashers, is normally distributed.Suppose

A dishwasher has a mean lifetime of 5 years with an estimated standard deviation of 2 years.

The lifetime of a dishwashers, is normally distributed.Suppose a bunch of samples taken,

each sample has 10 dishwashers.

a.)Find the standard deviation of the sample mean for dishwasher's lifetime.

b.)Find the probability that the sample mean of the dishwasher's lifetime will be greater than 6 years.

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