An expensive watch is powered by a 3-volt lithium battery expected to last four years. Suppose the life of the battery has a standard deviation of 0.6 year and is normally distributed. a. Determine the probability that the watch's battery will last longer than 4.5 years. b. Calculate the probability that the watch's battery will last more than 3.45 years. c. Compute the length-of-life value for which 25% of the watch's batteries last longer.
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Step 1
First, we need to standardize the values to use the standard normal distribution. The standard score (z-score) is calculated as (X - μ) / σ, where X is the value we are interested in, μ is the mean, and σ is the standard deviation. Show more…
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