practice questions for Test 2

practice questions for Test 2 - Pretest 2 Pretest 2...

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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 0.2 0.1 0.0 X =2 0.1 0.2 0.1 X =3 0.0 0.1 0.2 4-9  COMMON INFORMATION. X j ~ N(2,4) for j=1,2….10 and Y k ~N(1,4) for k=1,2…25. The X j
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