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A small ferry boat can carry up to 30 passengers and 4 crew members (34 total)....

A small ferry boat can carry up to 30 passengers and 4 crew members (34 total). There is a weight restriction (limit) of 7106 lbs for ALL 30 passengers and ALL 4 crew members including his/her luggage. The combined weight of each passenger (or crew member) and his/her luggage is has a mean of 198.4 lbs. with a standard deviation of 65.6 lbs.

A) What is the probability of randomly selecting one passenger with a weight that exceeds the limit? Assume that the weights are normally distributed.

B) What is the probability that the weight limit will be exceeded when there are exactly 30 passengers and 4 crew members on board? State the Standard error.

Math   Statistics-And-Probability   
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