Passengers died when a particular water taxi sank. 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 196 lb and a standard deviation of 41lb. The water taxi that sank had a stated capacity of 25 ​passengers, and the boat was rated for a load limit of 3750lb. Complete parts​ (a) through​ (d) below   a. the max mean weight is________________lb   b.  if the water is filled with 25 randomly selected men, what is the  probability that thier mean weight exceeds the vlue from part (a)?   c.  after the water taxi sank, the weight assumptionswere revised so that the new capacity became 20 passengers. if the water taxi is filled wiwth 20 randomly seleed men, what is the probability tht their mean weight exceeds 187.5 lb, which is the max mean weight that does not cause the total load to exceed 3750ld.   d.  is the new caoacity of 20 passenger safe?

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Passengers died when a particular water taxi sank. 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 196 lb and a standard deviation of

41lb. The water taxi that sank had a stated capacity of 25 ​passengers, and the boat was rated for a load limit of 3750lb.
Complete parts​ (a) through​ (d) below
 
a. the max mean weight is________________lb
 
b.  if the water is filled with 25 randomly selected men, what is the  probability that thier mean weight exceeds the vlue from part (a)?
 
c.  after the water taxi sank, the weight assumptionswere revised so that the new capacity became 20 passengers. if the water taxi is filled wiwth 20 randomly seleed men, what is the probability tht their mean weight exceeds 187.5 lb, which is the max mean weight that does not cause the total load to exceed 3750ld.
 
d.  is the new caoacity of 20 passenger safe?
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