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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 OA 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 OD The probability from part a is more relevant because it shows the proportion of male passengers that will not need to bend

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