Suppose the life of a particular brand of calculator battery is approximately normally distributed with a...

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Suppose the life of a particular brand of calculator battery isapproximately normally distributed with a mean of 80 hours and astandard deviation of 9 hours. Complete parts a through c.

a. What is the probability that a single battery randomlyselected from the population will have a life between 7575 and 85​hours?

b. What is the probability that 99 randomly sampled batteriesfrom the population will have a sample mean life of between 75 and85 ​hours?

c. If the manufacturer of the battery is able to reduce thestandard deviation of battery life from 9 to 7 ​hours, what wouldbe the probability that 9 batteries randomly sampled from thepopulation will have a sample mean life of between 75 and 85​hours?

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the pdf of normal distribution is 1 2 e xu2 22    See Answer
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