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sol_exam1_427_2011

# sol_exam1_427_2011 - Stat 427 NAME_solutions Exam 1...

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Stat 427 NAME____ solutions _____________________ Exam 1 Professor Berliner; WI 2011 Exam Score: _______/100 points Part I Score: _______ / 40 points Fill-in the blanks: Each question is worth 4 points (no partial credit) 1. The _ sample space ____ of an experiment is the set of all possible outcomes of that experiment. 2. If A and B are disjoint (mutually exclusive) events, then the probability of both events occurring simultaneously is equal to __ zero ____________. 3. If P ( A ) = .50, P(B ) = .70, and , then ___ .80 ____. 4. If P ( A ) = .35, P ( B ) = .50 and .20, then P ( A | B ) is _ 2/5=.40 _. 5. If .123 and P ( A | B ) = .60, then P ( B ) is _ .123/.60=.205 __. 6. If P ( A ) = .25, P ( B ) = .40, and events A and B are independent, then _ .25 (.40) = .10 ___________. 7. If P ( A ) =.60, P ( B ) = .40, and events A and B are independent, then P ( A | B ) is __ .60 ________. 8. The probability mass function p ( x ) of a discrete random variable X is p ( 0 ) = .15, p (1) = .30, p (2) = .20, p (3) = .10, and p (4) = .25. The value of the cumulative distribution function F ( x ) at x = 2 is ____ .65 ______. 9. If the expected value of a discrete random variable X is E ( X ) = 5, then E (2 X + 3) is ___ 13 _______. 10. Let X be a discrete random variable with E ( X ) = 4.5 and E(X 2 ) = 26.25, then the variance of X is V ( X ) = __ 6 ________.

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sol_exam1_427_2011 - Stat 427 NAME_solutions Exam 1...

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