The mean age of CEO is 56 years If we know that this variabl

The mean age of CEO is 56 years. If we know that this variable is normally distributed with a standard deviation of four years, then approximately what percentage of all CEOs are younger than 48 years old?
The mean age of CEO is 56 years. If we know that this variable is normally distributed with a standard deviation of four years, then approximately what percentage of all CEOs are younger than 48 years old?

Solution

mean = 56

std dev = 4

For x = 48, the z-value z = (48 - 56) / 4 = 2

Hence P(x < 48) = P(z < 2) = [area to the left of 2.0] = 0.9772 = 97.72%

The mean age of CEO is 56 years. If we know that this variable is normally distributed with a standard deviation of four years, then approximately what percenta

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