A random variable is normally distributed with a mean of - 90 and a standard deviation of a = 5. (a) The following figure shows that the normal curve almost touches the horizontal axis at three standard deviations below and at three standard deviations above the mean (in this case at 75 and 105). Areas Under the Curve for any Normal Distribution 99.7% 95.4% 68.3% -lo # μ+lo Sketch a normal curve for the probability density function. Label the horizontal axis with values of 75, 80, 85, 90, 95, 100, and 105.

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