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assume that in a particular region, wild salmon have an average weight of 5 pounds with...

assume that in a particular region, wild salmon have an average weight of 5 pounds with a standard deviation of 1.6 pounds.
a. Find the probability that a salmon's weight is between 4.1 pounds and 5.5 pounds.

b. Find P80, the 80th percentile of salmon weights.
c. Assume that a sample of 25 salmon is randomly taken from the preceding population and the mean of their weights recorded. Give the mean μx and the standard deviation σx of the sample means of samples of size 25 and find the probability that the sample mean will be less than 5.3 pounds.

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