A boat capsized and sank in a lake. Based on an assumption of a mean weight ol143 lb. the boat was rated to carry 50 passengers (so the load limit was 7,150 lb). Alter the boat sank, the assumed mean weight for similar boats was changed hom143 lb to 171 lb. Complete parts a and b below. 3. Assume that a similar boat is loaded with 50 passengers, and assume that the weights of people are normally distributed with a mean of179.4 lb and a standard deviation of 38.4 lb. Find the probability that the boat is overloaded because the 50 passengers have a mean weight greater than 143 lb. The probability is . (Round to four decimal places as needed.) b. The boat was later rated tocarry only 16 passengers, and the load limit was changed to 2,736 lb. Find the probability that the boat is marinaded because the mean weight ofthe passengers is greaterthan 171 (so that their total weight is greater than the maximum capacity of 2,736 lb). The probability is . (Round to four decimal places as needed.) Do the new ratings appear to be safe when the boat is loaded with 16 passengers? Choose the correct answer below. 0 A. Because 179.4 is greater than 171, the new ratings do not appear to be safe when the boat is loaded With 16 passengers. 0 B. Because the probability ol' overloading is lower With the new ratings than With the old ratings, the new ratings appear to be safe. 0 (2. Because there is a high probability of overloading, the new ratings do not appear to be safe when the boat is loaded wrth16 passengers. 0 D. Because there is a high probability of overloading, the new ratings appear to be safe when the boat is loaded with 16 passengers