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An airliner carries 200 passengers and has doors with a height of 74 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 0 9629 Round to four decimal places as needed b If half of the 200 passengers are men find the probability that the mean height of the 100 men is less than 74 in The probability is 0 9999 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 QA 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 OB 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 OC The probability from part b is more relevant because it shows the proportion of male passengers that will not need to bend 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 OA 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 table propertion of men will necessarily accommodate a greater proportion of women There is no adequate reason to ignore women A separate statistical analysis should be carried out for the case of women

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