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.
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
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 machine is an exponentially distributed random variable with parameter λ (lambda) = 0.5.What's the probability that a repair takes less than 5 hours? AND what's the conditional probability that a repair takes at least 11 hours, given that it takes more than 8 hours?
(1 point) Suppose that the time (in hours) required to repair a machine is an exponentially distributed random variable with parameterA- 0.6. What is (a) the probability that a repair time exceeds 10 hours? (b) the conditional probability that a repair takes at least 11 hours, given that it takes more than 8 hours?
Suppose that the time (in hours) required to repair a machine is an exponentially distributed random variable with parameter λ=0.8, i.e., mean = 1/lambda. What is (a) the probability that a repair takes less than 77 hours?
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