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Use the given information below to answer the questions. Show ALL your work. The heights of...

Use the given information below to answer the questions. Show ALL your work.

The heights of young men follow a Normal distribution with mean 69.3 inches and standard deviation 2.8 inches. The heights of young women follow a Normal distribution with mean 64.5 inches and standard deviation 2.5 inches.

Let M = the height of a randomly selected young man

      W = the height of a randomly selected young woman

a.) Describe the shape, center, and spread of the distribution of M – W.

b.) Find the probability that a randomly selected young man is at least 2 inches taller than a randomly selected young woman.

math   Statistics-And-Probability   
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