Answer:
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
[tex]Z=\frac{x-\bar {X}}{\sigma }[/tex]
where
[tex]\bar{x}[/tex] is mean of the data
[tex]\sigma [/tex] is the standard deviation of the data
Thus corresponding to x = 74 the Z factor equals
[tex]Z=\frac{74-70}{4}=1[/tex]
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
