Q1. How much more cereal do you EXPECT to be in the Large Bowl? Round your answe
ID: 3368188 • Letter: Q
Question
Q1.
How much more cereal do you EXPECT to be in the Large Bowl?
Round your answer to be in integer.
Q2.
What is the standard deviation of the difference, Y?
Round your answer to 1 decimal place.
Q3.
What is the probability the small bowl contains more cereal than the large one? HINT: this is a normal distribution problem.
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. Let Y be the difference of the amount of cereal in the two bowls (Large-Small). Y = XLarge. XSmall.Explanation / Answer
Q1) expected excess amount =E(Xlarge)-E(Xsmall)=2.5-1.5 =1
Q2)std deviation =(0.32+0.42)1/2 =0.5
Q3) probability the small bowl contains more cereal than the large>
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