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The heights of young men follow a Normal distribution with a mean of 175.1 cm and a standard deviation of 7.62 cm. The heights of

The heights of young men follow a Normal distribution with a mean of 175.1 cm and a standard deviation of 7.62 cm. The heights of young women follow a Normal distribution with a mean of 162.1 cm and a standard deviation of 6.35 cm.

Let M = the height of a randomly selected young man

W = the height of a randomly selected young woman

  1. Describe the shape, center, and spread of the distribution of M - W.

2. Find the probability that a randomly selected young man is at least 4 centimeters taller than a randomly selected young woman.

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