Solve the problem. 14) The weights of the fish in a certain lake are normally distributed with a mean of 15 lb and a standard deviation of 6. If 4 fish are randomly selected, what is the probability that the mean weight will be between 12.6 and 18.6 lb? 14) ______ A) 0.4032 B) 0.0968 C) 0.6730 D) 0.3270 15) A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If 40 different applicants are randomly selected, find the probability that their mean is above 215. 15) ______ A) 0.4713 B) 0.1179 C) 0.3821 D) 0.0287 16) Suppose that replacement times for washing machines are normally distributed with a mean of and a standard deviation of 1.1 years. Find the probability that 70 randomly selected washing machines will have a mean replacement time less than 16) ______ A) 0.0714 B) 0.0643 C) 0.4357 D) 0.4286 17) For women aged 18-24, systolic blood pressures (in mm Hg) are normally distributed with a mean of 114.8 and a standard deviation of 13.1. If 23 women aged 18-24 are randomly selected, find the probability that their mean systolic blood pressure is between 119 and 122. 17) ______ A) 0.0833 B) 0.3343 C) 0.0577 D) 0.9341 18) A study of the amount of time it takes a mechanic to rebuild the transmission for a 1992 Chevrolet Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. If 40 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 8.1 hours. 18) ______ A) 0.9146 B) 0.7285 C) 0.8531 D) 0.8457 19) A final exam in Math 160 has a mean of 73 with standard deviation 7.8. If 24 students are randomly selected, find the probability that the mean of their test scores is greater than 71. 19) ______ A) 0.5036 B) 0.8962 C) 0.9012 D) 0.0008 20) A final exam in Math 160 has a mean of 73 with standard deviation 7.8. If 24 students are randomly selected, find the probability that the mean of their test scores is less than 70. 20) ______ A) 0.1006 B) 0.9699 C) 0.0301 D) 0.0278