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 70 inches tall? enter you answer in decimal form, e. g. 0.68, not 68 or 68%.

0.5

Step-by-step explanation:

Given : Adult male heights have a normal probability distribution .

Population mean :

Standard deviation:

Let x be the random variable that represent the heights of adult male.

z-score :

For x=70, we have

Now, by using the standard normal distribution table, we have

The probability that a randomly selected male is more than 70 inches tall :-

Hence, the probability that a randomly selected male is more than 70 inches tall = 0.5

The probability that a randomly selected male is more than 70 inches tall is 0.5

Step-by-step explanation:

Mean height of adults =

Standard deviation =

We are supposed to find the probability that a randomly selected male is more than 70 inches tall i.e. P(x>70)

Formula:

Z=0

So, p value at z=0 is 0.5

So, P(x>70)=1-P(x<70)=1-0.5 =0.5

Hence the probability that a randomly selected male is more than 70 inches tall is 0.5