(it A boat capsized and sank in a lake. Based on an assumption of a mean weight of 135 lb, the boat was rated to carry 63 passengers (so the load limit was 3,103 lb). After the boat sank, the assumed mean weight for similar boats was changed trom 135 lb to 170 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 60 passengers. and assume that the weights of people are normally distributed with a mean of 1?B.2 lb and a standard deviation of 39.8 lb. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 135 lb. The probability is :|. [Rou nd to four decimal places as needed.) b. The boat was later rated to oan'y only 1? passengers. and the load limit was changed to 2.390 lb. Find the probability that the boat is overloaded because the mean weight ofthe passengers is greater than 1m {so that their total weight is greater than the maximum oapacityof 2,390 lb). The probability is D. [Rou nd to four decimal places as needed.) Do the new ratings appear to be safe when the boat is loaded with 1? passengers? Choose the correct answer below O A. Because 113.2 is greater than 1?6. the new ratings do not appear to be safe when the boat is loaded with 1? passengers. O B. Because the probability of overloading is lower with the new ratings than with the old ratings, the new ratings appear to be safe. O 0. Because there is a high probability of overloading, the new ratings do not appearto be safe when the boat is loaded with 1? passengers. 0 D. Because there is a high probability of overloading, the new ratings appear to be safe when the boat is loaded with 1? passengers