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Unformatted text preview: inches or taller? 4 5. The quantity of sugar X (measured in grams) in a randomlyselected piece of candy is normally distributed, with expected value E ( X ) = μ = 22 and variance Var( X ) = σ 2 = 8. For which value of x is P ( X ≤ x ) = 0 . 1492? In other words, ﬁnd the quantity x of sugar, so that exactly 14.92% of the candy has less than x grams of sugar. 5 6. Design your own problem and solution. Create your own problem about a Normal random variable. Design your problem in such a way that you would ﬁnd it enjoyable and also interesting (i.e., not completely trivial) if you found this problem in a probability book. Please provide the answer for your problem too. 6...
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 Fall '08
 Staff
 Probability, Standard Deviation, Variance, Probability theory, probability density function, Cauchy distribution

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