..compute the probabilities 99:52.55): '[z>-0.96)= .. Let x be a random variable representing the weight, in pounds, of a fish in a lake. You may assume that x as a normal distribution with mean u = 3.1 and standard deviation 0 = 0.43. a. Find the probability that a randomly caught fish weighs at least 4 pounds. b. Find the probability that a random sample of n=40 fish has mean weight not more than 3 pounds. -. The average resting heart rate, in beats per minute, for a healthy adult male is #:80. John is an adult male, nd his doctor is concerned that John's heart rate is elevated. A random sample of 10 of John's resting heart ates has mean rate :3 = 97. Let x be a random variable that represents John's resting heart rate. You may ssume that x has an approximately normal distribution with standard deviation 0 = 20. Does the above ample result provide strong evidence that John's heart rate is elevated? Use a u=5% level of significance