The proportion of a normal distribution that corresponds to

The proportion of a normal distribution that corresponds to values greater than z = 1.00 is p = 0.1587. What is the proportion that corresponds to values less than z = -1.00?

0.8413

-0.8413

0.1587

-0.1587

Solution

The correct answer is 0.1587 in this case as well since the normal distribution is symmetric about its mean and extremes. Hence proportion of normal distribution corresponding to values greater than k is equal to the proportion corresponding to values less than k, for all real numbers k.