Question: An expensive watch is powered by a 3-volt lithium battery expected to last three years. Suppose the life of the battery has a standard deviation

An expensive watch is powered by a 3-volt lithium battery expected to last

three

years. Suppose the life of the battery has a standard deviation of

0.3

year and is normally distributed.a. Determine the probability that the watch's battery will last longer than

3.7

years.b. Calculate the probability that the watch's battery will last more than

2.35

years.c. Compute the length-of-life value for which

10%

of the watch's batteries last longer.

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