13.     Organizers of a fishing tournament believe that the

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lake holds a sizable population of largemouth bass. They assume that the weights of these fish have a model that is skewed to the right with a mean of 3.5 pounds and a stan- dard deviation of 2.32 pounds.

a)    Explain why a skewed model makes sense here.

b)    Explain why you cannot determine the probability that a largemouth bass randomly selected (“caught”) from the lake weighs over 3 pounds.

c)    Each contestant catches 5 fish each day. Can you deter- mine the probability that someone’s catch averages over 3 pounds? Explain.

 

 

 

 

 

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d)    The 12 contestants competing each caught the limit of

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5 fish. What’s the standard deviation of the mean weight of

the 60 fish caught?

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e)    Would you be surprised if the mean weight of the

60 fish caught in the competition was more than 4.5 pounds? Use the 68–95–99.7 Rule.