Please use this information to answer the next 3 questions. The trout in Lee Vining Creek have weights which are normally distributed with a mean of 2.5 pounds and a standard deviation of 0.6 pound.
1. If one trout is randomly selected, what is the probability that it's weight will be greater than 4 pounds? Please round your result to 4 decimal places.
2. Would it be considered unusual if you caught a 4-pound fish? Please use statistical reasoning:)
3. Now suppose you randomly selected 8 trout from the creek. What is the probability that their mean weight would be between 1.5 and 2.9 pounds? Please round to four decimal places.