The weights of a certain brand of candies are normally distributed with a mean w
ID: 2949930 • Letter: T
Question
The weights of a certain brand of candies are normally distributed with a mean weight of 0.8543 g and a standard deviation of 0.0518 g. A sample of these candies came from a package containing 459 ?candies, and the package label stated that the net weight is 391.7 g.? (If every package has 459 ?candies, the mean weight of the candies must exceed 391.7/ 459 = 0.8533 g for the net contents to weigh at least 391.7 ?g.)
a. If 1 candy is randomly? selected, find the probability that it weighs more than 0.8533 g.
Explanation / Answer
Ans:
a)
z=(0.8533-0.8543)/0.0518
z=-0.019
P(z>-0.019)=0.5077
Probability that it weighs more than 0.8533 g is 0.5077
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