Adult male heights have a normal probability distribution with a mean of 70 inches and a standard deviation of 4 inches. what is the probability that a randomly selected male is more than 74 inches tall? enter you answer in decimal form, e. g. 0.68, not 68 or 68%.

The probability that the man is greater than 74 inches is 0.1587

Step-by-step explanation:

The required probability is found by evaluating the area under the corresponding distribution curve for the corresponding values

The standard normal variate factor (Z) is given by

where

is mean of the data

is the standard deviation of the data

Thus corresponding to x = 74 the Z factor equals

Using the standard normal distribution table corresponding to mean of 70 and deviation of 4 the area under the curve corresponding to Z = 1 equals

0.1587