Question

In: Statistics and Probability

suppose a manager of yalelo is observing the fish pond to determine when it will be...

suppose a manager of yalelo is observing the fish pond to determine when it will be ready for sale. let x represent the length of a single bream taken at random from the pond. the manager concludes that x has a normal distribution with mean of 10.2 millimeters and standard deviation of 1.4 milimeters.

a. what is the probability that a single bream taken at random from the pond is between 8 and 12 millimeters long?

b. what is the probability that the mean length of five breams taken at random is between 8 and 12 millimeters?

c. looking at the results of part(a) and (b , we see that the probabilities are different. why is this the case?

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