Please answer the following question and explain your process please. \"Your com

Question

Please answer the following question and explain your process please. "Your company manufactures television sets. The time until the first repair is normally distributed with a mean of 5 years and a standard deviation of 1.5 years. The boss wants to guarantee sets for the first 2 years. She asks you what percent of the sets will need a repair during the warranty period. What would you tell her? " Please answer the following question and explain your process please. "Your company manufactures television sets. The time until the first repair is normally distributed with a mean of 5 years and a standard deviation of 1.5 years. The boss wants to guarantee sets for the first 2 years. She asks you what percent of the sets will need a repair during the warranty period. What would you tell her? "

Explanation / Answer

P(X < a) = P(Z < a - mean/std)

P(X <2) = P(Z < 2 - 5/1.5)

= P(Z < -2)

= 0.0228

= 2.28%

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