Water Taxi Safety When a water taxi sank in Baltimore’s Inner ...

Question

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 the mean weight of a passenger was assumed to be 140 lb. Assume a “worst-case” scenario in which all of the passengers are adult men. Assume that weights of men are normally distributed with a mean of 188.6 lb and a standard deviation of 38.9 lb (based on Data Set 1 “Body Data” in Appendix B).

c. With a load limit of 3500 lb, how many male passengers are allowed if we assume the updated mean weight of 188.6 lb?

c. With a load limit of 3500 lb, how many male passengers are allowed if we assume the updated mean weight of 188.6 lb?

Accepted Answer

All right, hello, everyone. So this question says, a sightseeing helicopter carrying tourists has recently crashed. The specifications of the helicopter show that it has a maximum allowable passenger load of 1200 pounds. It was assumed that the mean weight of a passenger is 142 pounds. The average weight of a tourist is normally distributed with a mean of 175.2 pounds. And a standard deviation of 36.4 pounds. What is the greatest number of tourists that can safely board the helicopter? Assuming each weighs 175.2 pounds. Option A says 5, B says 6, C says 7, and D says 8. So to determine the maximum number of tourists that can safely board this helicopter with the information given, what you do is divide the maximum allowable passenger load by the mean weight. So, in this case, that's 1200 pounds divided by 175.2. And that comes out to approximately 6.849. So now the question is rounding. And in this context, you should be routing down to the nearest integer. Rounding up to 7 instead would result in a total weight inside the helicopter that exceeds the maximum allowable load. So that's why here, our final answer is going to be 6 passengers, making option B our final answer. And there you have it. So with that being said, thank you so very much for watching, and I hope you found this helpful.

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Key Concepts

Normal Distribution

Mean and Standard Deviation

Load Limit Calculation

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