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Battery lifetime is normally distributed for large samples. The mean lifetime is 500 daysand the...

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Battery lifetime is normally distributed for large samples. The mean lifetime is 500 daysand the standard deviation is 61 days.a) Find the distribution by filling in the blanks:X~N()b) Find the probability of batteries that have lifetimes longer than 561 days? Round to 4decimals.c) Find the probability of batteries that have lifetimes at most 497 days? Round to 4decimals.d) Find the 75th percentile. Round to 1 decimal.

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