the door design with a height of 51.6 in, appear to be adequate? Why didn\'t the
ID: 3361692 • Letter: T
Question
the door design with a height of 51.6 in, appear to be adequate? Why didn't the c Does design a larger door? d. what doorway height would allow 60% of men to fit without bending? 25. Water Taxi Safety When a water taxi sank in Baltimore's Inner Harbor, an investigation revealed that the safe passenger load for the water taxi was 3500 lb. It was also noted that he mean weight of a passenger was assumed to be 140 lb. Assume a "worst-case" scenari in which all of the passengers are adult men. (This could easily occur in a city that hosts conventions in which people of the same gender o of men are normally distributed with a mean of 182.9 lb and a standard deviation of 40.8 Ib (based on Data Set 1 in Appendix B). ften travel in groups.) Assume that weights a. If one man is randomly selected, find the probability that he weighs less than 174 lb (the new value suggested by the National Transportation and Safety Board). b. With a load limit of 3500 lb, how many male passengers are allowed if we assume a mean weight of 140 lb? c. With a load limit of 3500 lb, how many male passengers are allowed if we use a new mean weight of 182.9 lb? d. Why is it necessary to periodically review and revise the number of passengers that are allowed to board? n design requirement is that an environment mustExplanation / Answer
Solution:- Given that Passenger load for the water taxi was 3500 lb.
Mean = 182.9 lb.
Standard deviation = 40.8 lb.
a. P(X < 174 ) = P(Z < (174 - 182.9)/40.8 )
= P(Z < 0.2181)
= 1 P(Z < 0.2181)
= 1 0.5871
= 0.4129
b. Number of passengers are allowed to travel = maximum allowable load / mean weight of passengers
= 3500/140 = 25
c. 3500/182.9 = 19.13 = 19
d.it is necessary to periodically review and revise the number of passenger s that are allowed to board because the mean weight is over the time rising so the taxi limits need to update for avoid the worse-case scenario.
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