$\"\"$

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The heights of adult males in the United States are normally distributed with mean $\"\"$ .

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Standard deviation $\"\"$ .

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(a)

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If one man is randomly selected.

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Find the probability that an adult male between $\"\"$ and $\"\"$ .

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probability that an adult male between $\"\"$ and $\"\"$ is $\"\"$ .

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Standardize $\"\"$ to $\"\"$ using $\"\"$ - Score formula.

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$\"\"$ - Score formula is $\"\"$ .

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Where $\"\"$ is standard deviation,

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$\"\"$ is the mean.

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$\"\"$

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From z - score table the probability is $\"\"$ .

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$\"\"$

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Therefore, $\"\"$ .

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$\"\"$

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(b)

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If one man is randomly selected.

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Find the probability that he weight should not exceed 175 lb.

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Probability of man weight exceeds 175 lb is $\"\"$ .

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Standardize x to z using z - Score formula.

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z - Score formula is $\"\"$ .

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Where σ is standard deviation,

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μ is the mean.

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$\"\"$

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From z - score table the probability is $\"\"$ .

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$\"\"$

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Therefore, $\"\"$ .

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$\"\"$

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(a) $\"\"$ .

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(b) $\"\"$ .