The Owner of a Fish Market Determined That the Average

Short Answer

The owner of a fish market determined that the average weight for a catfish is 3.6 pounds with a standard deviation of 0.8 pound. Assume the weights of catfish are normally distributed.
What is the probability that a randomly selected catfish will weigh more than 4.8 pounds?
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What is the probability that a randomly selected catfish will weigh between 3 and 5 pounds?
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A randomly selected catfish will weigh more than x pounds to be one of the top 5% in weight. What is the value of x?
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A randomly selected catfish will weigh less than x pounds to be one of the bottom 20% in weight. What is the value of x?
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Above what weight (in pounds) do 87.70% of the weights occur?
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What is the probability that a randomly selected catfish will weigh less than 3.2 pounds?
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Below what weight (in pounds) do 83.4% of the weights occur?
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