Largemouth bass. Organizers of a fishing tournament believe that the lake holds a sizable population of large-mouth bass. They assume that the weights of these fish have a model that is skewed to the right with a mean of3.5 pounds and a standard deviation of 2.2 pounds.a) Explain why a skewed model makes sense here.b) Explain why you cannot determine the probabilitythat a largemouth bass randomly selected (“caught”)from the lake weighs over 3 pounds.c) Each fisherman in the contest catches 5 fish each day.Can you determine the probability that someone’scatch averages over 3 pounds? Explain.d) The 12 fishermen competing each caught the limit of5 fish. What’s the probability that the total catch of60 fish averaged more than 3 pounds?

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Largemouth bass. Organizers of a fishing tournament
believe that the lake holds a sizable population of large-
mouth 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 standard deviation of 2.2 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 fisherman in the contest catches 5 fish each day.
Can you determine the probability that someone’s
catch averages over 3 pounds? Explain.
d) The 12 fishermen competing each caught the limit of
5 fish. What’s the probability that the total catch of
60 fish averaged more than 3 pounds?
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