The time (in hours) required to repair a machine is a gamma random variable with parameters ? = 2 and ? = 2.
a) Find the probability that the repair time of a machine exceeds 2 hours.
b) If there are independent 40 machines to be repaired in a shop, approximate the probability that for the majority of the machines, repair times exceed 2 hours. $4. The time (in hours) required to repair a machine is a gamma random variable with parameters $ \alpha=2 $ and \( \beta=2$

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4. The time (in hours) required to repair a machine is a gamma random variable with parameters $ \alpha=2 $ and $ \beta=2 $. a) Find the probability that the repair time of a machine exceeds 2 hours. b) If there are independent 40 machines to be repaired in a shop, approximate the probability that for the majority of the machines, repair times exceed 2 hours.

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