A citrus grower offers gourmet gift boxes of 6 Ruby Redgrapefruits. The grapefruits used in these boxes weighan average of 18 ounces with a standard deviation of 1.2 ounces. Assuming the weights are approximately nor-mally distributed, what is the probability that the average weight of the Ruby Reds in one of these boxes is between17.5 and 18.5 ounces?A) 0.323 B) 0.383 C) 0.693D) 0.986 E) 0.997

Suppose that the number of points scored in a game comes from a normal population with an average of 12 points and a standard deviation of 9 points. Estimate the chance that the average points scored in ten randomly selected games will exceed 14.2 points. A. 0.4034 B. 0.0073 C. 0.2198 D. 0.2297

An airliner carries 150 passengers and has doors with a height of 78 in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation of 2.8 in. Complete parts (a) through (d). a. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending. ..... The probability is. (Round to four decimal places as needed.) b. If half of the 150 passengers are men, find the probability that the mean height of the 75 men is less than 78 in. The probability is. (Round to four decimal places as needed.) c. When considering the comfort and safety of passengers, which result is more relevant: the probability from part (a) or the probability from part (b)? Why? A. The probability from part (a) is more relevant because it shows the proportion of male passengers that will not need to bend. B. The probability from part (b) is more relevant because it shows the proportion of flights where the mean height of the male passengers will…

Suppose that an airline uses a seat width of 16.7 in. Assume that men have hip breadths that are normally distributed with a mean of 14.2 inches, and a standard deviation of 1in.  Find the probability that if an individual man is randomly selected that his hip breadths will be greater than 16.7 in.