The distribution of heights, X, of adult Omani men is approximately Normal with mean µ = 69 inches and standard deviation o = 2.5 inches (a) Find the percentage of Omani men who are taller than 74 inches. (b) Compute the conditional probability P(X > 77|X > 74). (c) If 30 Omani men are randomly selected, find the probability that their average height will be greater than 70 inches. (d) Between what heights do the middle 90% of the men fall? (e) The tallest 10% of Omani men are considered for a specific job in ROP. What is the minimum height required?

Suppose that the number of customers who enter a supermarket each hour is normally distributed with a mean of 650 and a standard deviation of 230. The supermarket is open 15 hours per day. What is the probability that the total number of customers who enter the supermarket in one day is greater than 10400? (Hint: Calculate the average hourly number of customers necessary to exceed 10400 in one 15-hour day.) Probability =

A data from a physician office shows that only 10% of patients are taller than 6 ft. If there are 4 patients in the office,find the probability that at least one of them is taller than 6 ft. Then, find mean and standard deviation of the number of patients taller than 6ft.

The amounts of time per workout an athlete uses a stairclimber are normally​ distributed, with a mean of 24minutes and a standard deviation of 5 minutes. Find the probability that a randomly selected athlete uses a stairclimber for​ (a) less than 20 ​minutes, (b) between 24 and 33 ​minutes, and​ (c) more than 40 minutes.       ​(a) The probability that a randomly selected athlete uses a stairclimber for less than 20minutes is. ​(Round to four decimal places as​ needed.) ​(b) The probability that a randomly selected athlete uses a stairclimber between 24 and 33 minutes is. ​(Round to four decimal places as​ needed.) ​(c) The probability that a randomly selected athlete uses a stairclimber for more than 40 minutes is . ​(Round to four decimal places as​ needed.)

The length of the western rattlesnake is normally distributed with a mean of 42 inches and a standard deviation of 2.04 inches. Let X be the length of one of these snakes selected at random. Determine the probability that the snake is longer than 45 inches. Report your answer to four decimal places (like .1567).