2. Automobile engines and transmissions are produced on assembly lines, and are inspected for defects after they come off their assembly lines. Those with defects are repaired. Let X represent the number of engines, and Y the number of transmissions that require repairs in a one-hour time interval. The joint probability mass function of X and Y is as follows: f(x, y) 0 1 2 3 Т y 0 1 2 .13 .10 .07 .12 .02 .01 3 .03 .16 .08 .04 .06 .08 .04 .02 .02 .02 What is the probability that the total number of engines and transmissions that require repairs is no more than 1 in an one-hour time interval? (b) Find the covariance Cov(X,Y).

2. Automobile engines and transmissions are produced on assembly lines, and are inspected for defects after they come off their assembly lines. Those with defects are repaired. Let X represent the number of engines, and Y the number of transmissions that require repairs in a one-hour time interval. The joint probability mass function of X and Y is as follows: f(x, y) 0 1 2 3 Т y 0 1 2 .13 .10 .07 .12 .02 .01 3 .03 .16 .08 .04 .06 .08 .04 .02 .02 .02 What is the probability that the total number of engines and transmissions that require repairs is no more than 1 in an one-hour time interval? (b) Find the covariance Cov(X,Y).

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.2: Probability

Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...

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