Question: An expensive watch is powered by a3-volt lithium battery expected to last three years. Suppose the life of the battery has a standard deviation of

An expensive watch is powered by a3-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 thewatch's battery will last longer than 3.8 years.

b. Calculate the probability that thewatch's battery will last more than 2.45 years.

c. Compute thelength-of-life value for which 5% of thewatch's batteries last longer.

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