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Bus108 The lifetime of a particular brand of hot water system is normally distributed with a mean of 34 years and a standard deviation of

Bus108

The lifetime of a particular brand of hot water system is normally distributed with a mean of 34 years and a standard deviation of 5 years.

Show workings where possible to support your answers.

A) What is the probability that one randomly selected hot water system works for less than 32 years?

B) What is the probability that one randomly selected hot water system works between 32 years and 36 years?

C) Determine the maximum lifetime that that this particular hot water system would work, if it were in the lowest 2.5% of the distribution of hot water system lifetimes.

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