LrTrChVIIISIXIndependentEven

LrTrChVIIISIXIndependentEven -...

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Math131(043)8.6:IndepndtEvents Prob.Pg:1 8 . 6 : Independent Events 437TAN17. A pair of fair dice is cast. Let E denote the event that the number landing uppermost on the first die is 3 and let F denote the event that the sum of the numbers landing uppermost is 7. Determine whether E and F are independent events. Refer to the figure 7.15, page 426 in the text. Here E  3,1 , 3,2 , 3,3 , 3,4 , 3,5 , 3,6  and F  1,6 , 6,1 , 2,5 , 5,2 , 3,4 , 4,3  . Then E F  3,4  . Now, P E F 1 36 and this is equal to P E . P F 6 36  6 36 1 36 . 1

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Math131(043)8.6:IndepndtEvents Prob.Pg:2 So E and F are independent events. 439TAN38. Mail Delivery Suppose the probability that your mail will be delivered before 2 p . m . on a delivery day is .90. What is the probability that your mail will be delivered before 2 p . m . for: a. Two consecutive delivery days? b. Three consecutive delivery days? a. These are indepenent events. Therefore, the probability is 0.9  0.9 0.81. b. The probability that the mail will be delivered before 2. P . M . is 0.9  0.9  0.9 0.729. 439TAN42. Quality Control Copykwik, Inc., has four photocopy machines A , B , C , and D . The probability that a given machine will 2
Math131(043)8.6:IndepndtEvents Prob.Pg:3 break down on particular day is P A 1 50 , P B 1 60 , P C 1 75 , P D 1 40 Assuming independance, what is the probability on a paricular day that: a. All four machines will break down? b. None of the machines will break down?

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LrTrChVIIISIXIndependentEven -...

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