Passengers died when a water taxi sank in Baltimore's Inner Harbor. Men are typically heavier than women and children, s

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Passengers Died When A Water Taxi Sank In Baltimore S Inner Harbor Men Are Typically Heavier Than Women And Children S 1 (37.17 KiB) Viewed 21 times

Passengers died when a water taxi sank in Baltimore's Inner Harbor. Men are typically heavier than women and children, so when loading a water taxi, assume a worst-case scenario in which all passengers are men. Assume that weights of men are normally distributed with a mean of 189 lb. and standard deviation of 39 lb. The water taxi that sank stated a capacity of 25 passengers, and the boat was rated for a load limit of 3500 lb. If the water taxi is filled with 25 randomly selected men, what is the probability that their mean weight exceeds 140 lb. (which is the maximum mean weight of the passengers if the boat is filled to the stated capacity of 25 passengers)? Probability is: Round to 4 decimals.