Q1 Find the expected amount of cereal left in the box, E(W). Round your answer t
ID: 3368192 • Letter: Q
Question
Q1
Find the expected amount of cereal left in the box, E(W).
Round your answer to 1 decimal place.
Q2
What is the standard deviation of the amount of cereal let in the box?
Round your answer to 3 decimal places.
Q3
What is the probability that the box still contains more than 13 ounces?
Round your answer to 3 decimal places.
The amount of cereal that can be poured into a small bowl is normally distributed with a mean of 1.5 ounces and a standard deviation of 0.3 ounces. For a large bowl the amount poured is normally distributed a mean of 2.5 ounces with a standard deviation of 0.4 ounces. You open a new box of cereal and pour one large and one small bowl. The amount of cereal the manufacturer puts in the boxes is normally distributed with mean of 16.3 ounces and standard deviation of 0.2 ounces. Let W be the amount left in the box after pouring the two bowls. W XBOx- ZExplanation / Answer
1)
expected amount of cereal left in the box=16.3-1.5-2.5=12.3
2) standard deviation =(0.32+0.42+0.22)1/2 =0.539
3)
probability that the box still contains more than 13 ounces =P(X>13)=P(Z>(13-12.3)/0.539)=P(Z>1.30)=0.097
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