# Question

A new water filtration system is sold with a 10-year warranty that includes all parts and repairs. Suppose the life of this water filtration system is normally distributed with mean and standard deviation of 16 and 5 years, respectively.

a. What is the probability that the water iltration system will require a repair during the warranty period?

b. Suppose the water filtration firm makes a $300 profit for every new system it installs. This profit, however, is reduced to $50 if the system requires repair during the warranty period. Find the expected profit of the firm if it installs 1,000 new water filtration systems.

a. What is the probability that the water iltration system will require a repair during the warranty period?

b. Suppose the water filtration firm makes a $300 profit for every new system it installs. This profit, however, is reduced to $50 if the system requires repair during the warranty period. Find the expected profit of the firm if it installs 1,000 new water filtration systems.

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