Assume that females have pulse rates that are normally distributed with a mean of u = 75.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 81 beats per minute. The probability is (Round to four decimal places as needed.)The overhead reach distances of adult females are normally distributed with a mean of 202.5 cm and a standard deviation of 8.3 cm. a. Find the probability that an individual distance is greater than 212.50 cm. b. Find the probability that the mean for 15 randomly selected distances is greater than 201.20 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? (E a. The probability is |:|. (Round to four decimal places as needed.) Assume that females have pulse rates that are normally distributed with a mean of u = 76.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below. . . a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 72 beats per minute and 80 beats per minute. The probability is (Round to four decimal places as needed.)A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 201 lb and a standard deviation of 41 lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3750 lb. Complete parts (a) through (d) below. (3 a. Given that the gondola is rated for a load limit of 3750 lb, what is the maximum mean weight of the passengers if the gondola is lled to the stated capacity of 25 passengers? The maximum mean weight is D lb. (Type an integer or a decimal. Do not round.) The weights of a certain brand of candies are normally distributed with a mean weight of 0.8545 g and a standard deviation of 0.0513 g. A sample of these candies came from a package containing 440 candies, and the package label stated that the net weight is 375.6 g. (If every package has 440 candies, the mean weight of the candies must 375.6 440 = 0.8537 g for the net contents to weigh at least 375.6 g.) exceed E) a. If1 candy is randomly selected, nd the probability that it weighs more than 0.8537 g. The probability is D. (Round to four decimal places as needed.) A boat capsized and sank in a lake. Based on an assumption of a mean weight of 131 lb, the boat was rated to carry 60 passengers (so the load limit was 7,860 lb). After the boat sank, the assumed mean weight for similar boats was changed from 131 lb to 171 lb. Complete parts a and b below. (3 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 180.1 lb and a standard deviation of 35.5 lb. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 131 lb. The probability is D. (Round to four decimal places as needed.)