There is a type of candy such that the quantity of sugar X (measured .pdf

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A piece of candy contains a normally distributed amount of sugar with an average of 22 grams and a variance of 8 grams. Hector ate 10 pieces of candy on Halloween. The question asks for the probability that Hector consumed over 200 grams of sugar total.

Educação

There is a type of candy such that the quantity of sugar X (measured in grams) in a randomly-
selected piece of candy is normally distributed, with expected value mu = 22 and variance
sigma2 = 8. Suppose that Hector eats ten pieces of this candy on Halloween night. What is the
probability that he consumed more than 200 grams of sugar? Show work.
Solution
i.e for single candy 20 g sugar is consumed. z= (X-mean) / std. dev z= -2/8 = -
0.25 Probability= 0.4013

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