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The lifespans of a new model of smart television are nermally distributed with a mean of 8.3 years and a standard deviation of 2.2 years.

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The lifespans of a new model of smart television are nermally distributed with a mean of 8.3 years and a standard deviation of 2.2 years. (a) A customer buys a television of this model. Find the probability that the television lasts longer than 5 years. (b) 10% of televisions of this model have a lifespan of less than m years. Find the value of m. The manufacturer offers a five - year warranty for this television model. Eight smart televisions of this model are sold on a certain day. (c) Find the probability that at most one of them will be claimed for warranty. (d) Find the probability that the eighth television sold will be the second one to be claimed for warranty. As company policy, televisions with a lifespan of less than 3 years will be replaced with a new one of the same model without repairing. (e) Find the probability that a television will be replaced with a new one, given that it is claimed for warranty

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