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In a murder trial in Los Angeles, a shoe expert stated that the range of heights...

In a murder trial in Los Angeles, a shoe expert stated that the range of heights of men with a size 12 shoe is 70 inches to 77 inches. Suppose the heights of all men wearing size 12 shoes are normally distributed with a mean of 73.5 inches and a standard deviation of 4.0 inches. What is the probability that a randomly selected man who wears a size 12 shoe (Do not round the z values. Use a statistical software package, Minitab or MegaStat to find the probabilities. Round answers to 4 decimal places.)

(a) Has a height outside the range 70 inches to 77 inches?
  P=?   
(b) Is 76 inches or taller?
  P=?   
(c) Is shorter than 69.7 inches?
  P=?   
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