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Unformatted text preview: Pretest 2 Pretest 2 Practice questions for Test 2. [I. Short answer questions. All questions on Quiz 1,2,3 , 4 and 4a. (mainly Quiz 3 , Quiz 4 and QUIZ 4a).] 1. Suppose a discrete variable, D has approximately normal distribution. In order to determine the probability of {D< 101} the normal distribution probability that is used to make the approximation is for X, the normal variable. (a) Pr(X < 100.5) (b) Pr(X < 100) © Pr(X< 101) (d) Pr(X< 101.5) 2. Suppose X= the number of pieces of mail processed by a postal clerk per hour. Suppose also that the mean of X, μ =90.5 and the standard deviation, σ = 15. Suppose also, that X has approximate normal distribution. Use the normal approximation for discrete variables to determine the probability that less than 101 are processed in a given hour. 3. Given the following joint p.d.f. of X 1 and X 2 . Are X 1 and X 2 independent ? X 2 =1 X 2 =2 X 2 =3 X 1 =1 0.2 0.1 0.0 X 1 =2 0.1 0.2 0.1 X 1 =3 0.0 0.1 0.2 49 COMMON INFORMATION. X j ~ N(2,4) for j=1,2….10 and YN(2,4) for j=1,2…....
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 Fall '03
 Mendell
 Normal Distribution, Probability, Standard Deviation, Variance, Probability theory

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