Heights of men in the United States are approximately normally distributed
with a mean of 70 inches and a standard deviation of 2.5 inches.
Part A: What is the probability that a randomly selected man will be taller than 75 inches?

Part B: According to our information, is 75 unusually tall for a man?

a. P(X>75)=0.02275

b. Yes

Step-by-step explanation:

Given that the mean is 70 inches and the standard deviation is 2.5 inches.

-the probability that a random selection has a height greater than 75 inches is calculated as:

Hence, the probability of a random being taller than 75 inches is 0.02275

b. Based on the above information, 75 inches is unusually tall since it has a deviation of 2.5 inches more than the standard deviation.

d

step-by-step explanation:

d

77

step-by-step explanation: