Question: Suppose that the failure time of a component is modeled with an exponential distribution with a mean of 32 days. A company acquires a batch

Suppose that the failure time of a component is modeled with an exponential distribution with a mean of 32 days. A company acquires a batch of 240 components. If the failure times of these components are taken to be independent of each other, estimate the probability that at least half of the components will last longer than 25 days.

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