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(3 pts) The lengths of the sardines received by a certain cannery are normally distributed with...

  1. (3 pts) The lengths of the sardines received by a certain cannery are normally distributed with mean 4.62 inches and a standard deviation 0.23 inch. What percentage of all these sardines is between 4.35 and 4.85 inches long?
  2. (3 pts) Suppose that the weight (X) in pounds, of a 40-year-old man is a normal random variable with standard deviation σ = 20 pounds. If 5% of this population is heavier than 214 pounds what is the mean μ of this distribution?
  3. (4 pts) Find the probability of :
    1. z-score is greater than -1.58
    2. z-score is less than 2.19
    3. z-score between -0.89 and 1.06
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TOPIC:Normal distribution.

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