Question

Suppose that the time, in hours, required to repair a heat pump is a random variable...

Suppose that the time, in hours, required to repair a heat pump is a random variable X that has a gamma distribution with the parameters α = 4 and β = 2. What is the probability that the average time to repair the following 40 pumps be more than 7.5 hrs?

Write the result with up to 4 decimals.

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Answer #1

as sample size >30...so here we can use central limit theorem(CLT)

Note-if there is any understanding problem regarding this please feel free to ask via comment box..thank you

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