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What is the probability that a box of gummies weighs

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The makers of Haribo candy sell their gummies by the box. The mean target weight of all boxes is 4.0 pounds and standard deviation of 0.45. Assume that the weight of the boxes is approximately normally distributed.

a. What is the probability that a box of gummies weighs between 2.05 than 2.75 pounds?

b. What should be the weight of a box if Haribo wants no more than 6 percent of boxes to be returned for having not enough candy in the box?

c. What is probability that the average of 16 randomly selected boxes is less than 1.90?

d. Would it be reasonable to assume that the weight of candy boxes is normally distributed? Would it be reasonable to assume that the distribution of the average weights is normal?

Reference no: EM132488316

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