A boat capsized and sank in a lake. Based on an assumption of the mean weight of 130lb, After the boat sank, the assumed mean weight for similar boats was changed from 130 lb to 171 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with a mean of 182.7 lb and a standard deviation of 40.4 lb. Find the probability that the boat is overloaded because the 70 passengers have a mean weight greater than 130 lb. The probability is _____.(Round to four decimal places as needed.) b. The boat was later rated to carry only 14 passengers, and the load limit was changed to 2,394 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 171 (so that their total weight is greater than the maximum capacity of 2,394 lb). The probability is ______(Round to four decimal places as needed.)
A boat capsized and sank in a lake. Based on an assumption of the
a. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are
b. The boat was later rated to carry only 14 passengers, and the load limit was changed to 2,394 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 171 (so that their total weight is greater than the maximum capacity of 2,394 lb). The probability is ______(Round to four decimal places as needed.)
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