Homework#7_Solutions

Homework#7_Solutions - ENGINEERING PROBABILITY Spring 2012...

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1 ENGINEERING PROBABILITY Spring 2012 Homework #7 _ Solutions Topic Assignment – Due Next Class Discrete random variables & Probability distribution functions & Expected values 3-2,4,7,15, 16, 17, 33, 39, 40, 49, 50 3 2. The range of X is 012 50 , , ,..., 3 4. The range of X is 012 3 4 5 , , , , , 3 7. The range of X is conveniently modeled as all nonnegative integers. That is, the range of X is 012 , , ,... 3 15. All probabilities are greater than or equal to zero and sum to one. a) P(X 2)=1/8 + 2/8 + 2/8 + 2/8 + 1/8 = 1 b) P(X > 2) = 2/8 + 2/8 + 2/8 + 1/8 = 7/8 c) P( 1 X 1) = 2/8 + 2/8 + 2/8 =6/8 = 3/4 d) P(X 1 or X=2) = 1/8 + 2/8 +1/8 = 4/8 =1/2 3 16. All probabilities are greater than or equal to zero and sum to one. 3
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