Question

I need the answer and explaination

An wiriner carries 50 passengers and has doors with a height 72 in. Heights of men we normally distributed with a man of in and a standard deviation of 2.8in. Complete ports (a) through (0) malepenserger is rurdonly weted, find the probability that he can fit through the doorway without bent The probability is Round to four decimal places as needed) Whalf of the 50 passengers are men, find the probability that the mean height of the The probabilis Round to four decimal places ded) e. When considering the comfort and safety of passengers, which result is more relevant. the from part) or the probably from thi? Why? O A The probability from part is more relevant because it shows the propert OB. The probably from part is more relevant because how and OC. The probability from part is more became how te morgen w e door het OD The phyton per mont became out When cong comfort and lo w OA. There is requiereson to ignore women. Areparate O . Since man as pereraly her than women, is more on OC srcemene general later than women, 21 22 ES 5323 23 portant that have bend than m ortant that women not have to bend

Answer 1

solution a) calculate is randomly late ndomly the probability selected the probability selected and that a male penson he can bit through the doorway bending. P(x272) = P ( x - " + 2-4) Plzc 7269) 2-8 = P(ZL 1.071) b) calculate - 0.8577 the mean height of the 25 means isless than 72 P(X272) = px -M, 72- 2-8 72-69 0.56 - P(z 25.357) ir = 1.0000 C) option of d) option is