Question

A boat capsized a in a lake Basad on an assumption of a mean waight of 141 lb, tha boat was ratad to carry 50 passangars (so the load limit was 7,050 b) Ater the boat sank, the assumed maan waight for similar boats was changed from 141 lb to 170 lb. Complate parts a and b belaw. .Assume that a similar boat is loaded with 50 passengers, and assume that the weights greatar than 141 lb f paople are normally distributed with a mean of 178.6 b and a standard deviation of 40.4 lb Find the probability that the boat is overloaded because the 50 passengers have a mean weight The probebility is (Round to four decimal places needed) . The boat was later rated to cary only 16 passengers, and the load limit was changed to 2.720 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 170 (so that their total weight is graater than the maximum capacity of 2.720 Ib The probability is (Round to four decimal places as needed) Do tha naw ratings appaar to ba safa whan the boat is loadad with 16 passengars? Choose the coract answar below Because 178.6 is greater than 170, the new ratings do r tappear to be safe when the boat is loaded with 16 passengers. Because there is a high probability of overloading e new ratings do not appear to be safe when the boat is loaded with 16 passengers. Because tha probability of overloading is lower with the new ratings than with O D. Because thara is a high probability af averloading, the new ratings appear to be safe when the boat is loaded with 16 passangars. a old ratings, the naw ratings appear to be safe

Answer 1

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