The lifetimes of batteries produced by a certain factory follow the exponential distribution with a mean of 3.5 days. (a

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answerhappygod
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The lifetimes of batteries produced by a certain factory follow the exponential distribution with a mean of 3.5 days. (a

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The lifetimes of batteries produced by a certain factory follow
the exponential distribution with a mean of 3.5 days.
(a) Suppose that a battery is randomly chosen from the outputs
of this factory. Find the probability that its lifetime is at least
4 days.
(b) Suppose that these batteries are sold in packs of 40. Eighty
packs are randomly chosen. Find the probability that, for at least
18 out of the 80 chosen packs, the average lifetime of the 40
batteries in the pack is at least 4 days
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