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The amount of cereal in a 20oz box of Cheerios is actually normally distributed

ID: 3358775 • Letter: T

Question

The amount of cereal in a 20oz box of Cheerios is actually normally distributed with a mean of 21oz and a standard deviation of 0.4 oz (so that you usually get at least as much as you paid for). Costco sells Cheerios in packages of two boxes.  

(a) What is the distribution of the amount of Cheerios in a package of two boxes?
Normal( = 42, = 0.447214)Normal( = 42, = 0.4)     Normal( = 42, = 0.565685)Normal( = 42, = 0.8) [Correct: Your answer is correct.]

(b) What is the probability that a randomly selected package of Cheerios contains more than 41oz? Round your answer to four decimal places.
[Incorrect: Your answer is incorrect.]

Explanation / Answer

a) here expected amount in 2 boxes =2*21=42

and std deviation =0.4*(2)1/2 =0.565685

Normal( = 42, = 0.565685)

b) P(X>41)=1-P(X<41)=1-P(Z<(41-42)/0.565685)=1-P(Z<-1.7678)=1-0.0385 =0.9615

please revert

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