An airliner caries 300 passengers and has doors with a height of 70 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 300 passengers are men, find the probability that the mean height of the 150 men is less than 70 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 (b) is more relevant because it shows the proportion of male passengers that will not need to bend. B. The probability from part (a) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be less than the door height. O C. The probability from part (b) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be less than the door height. O D. The probability from part (a) is more relevant because it shows the proportion of male passengers that will not need to bend. d. When considering the comfort and safety of passengers, why are women ignored in this case? O A Since men are generally taller than women, it is more difficult for them to bend when entering the aircraft. Therefore, it is more important that men not have to bend than it is important that women not have to bend. O B. Since men are generally taller than women, a design that accommodates a suitable proportion of men will necessarily accommodate a greater proportion of women. O C. There is no adequate reason to ignore women. A separate statistical analysis should be carried out for the case of women.

An airliner carries 400 passengers and has doors with a height of 75 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 400 passengers are men, find the probability that the mean height of the 200 men is less than 75 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 (b) is more relevant because it shows the proportion of male passengers that will not need to bend. B. The probability from part (a) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be…

1. An unknown distribution has a mean of 35 and a standard deviation of 6. Samples of size n = 40 are drawn randomly from the population. a. State the distribution: b. Find the probability that the sample mean is between 33.5 and 35.5 (label and shade the diagram)

• A) Given the data Pulse Rate (beats per minute) Mean St. Dev. Distribution Males 69.6 11.3 Normal Females 74.0 12.5 Normal a. Find the probability that a female has a pulse rate less than 60 beats per minute. b. Find the probability that a male has a pulse rate grater than 80 beats per minute. c. Find the probability that a m ale has a pulse rate between 65 beats per minute and 85 beats per minute. • B) Snow White. Disney World required that women employed as a Snow White character must have a height between 64 in and 67 in o Find the percentage of women meeting the height requirement o If the height requirements are changed to exclude the shortest 40% of women and the tallest 5% of women, what are the new height requirements?