[Joint PDFS will be covered in Week 7] Assume that X and Y represent the percentage of time in a certain day that Machines A and B are busy in a production line. The joint PDF of these random variables is given by fy y(x,y) = (6x + 5y) where 0sxs1 and 0sys1. (a) The marginal density of X is given by (select one choice and fill in the box): a (Type your answer as a function of x or y and in a form similar to as needed. Do not convert fractions to decimals.) C+ X+ or d. O A. fx(x) = for 0sxs1 OB. fy(y) = for 0sys1 (b) The marginal density of Y is given by (select one choice and fill in the box). C. or a as needed Do not convert fractions to decimals) C+ (Type your answer as a function of x or y and in a form similar to O A. fy(y) = for 0sys1 OB. fx(x) = for 0 sxs1 (c) What is the probability that Machine A will be busy less than one-third of the day? This probability is (Type an integer or a simplified fraction. Do not convert fractions to decimals)

[Joint PDFS will be covered in Week 7] Assume that X and Y represent the percentage of time in a certain day that Machines A and B are busy in a production line. The joint PDF of these random variables is given by fy y(x,y) = (6x + 5y) where 0sxs1 and 0sys1. (a) The marginal density of X is given by (select one choice and fill in the box): a (Type your answer as a function of x or y and in a form similar to as needed. Do not convert fractions to decimals.) C+ X+ or d. O A. fx(x) = for 0sxs1 OB. fy(y) = for 0sys1 (b) The marginal density of Y is given by (select one choice and fill in the box). C. or a as needed Do not convert fractions to decimals) C+ (Type your answer as a function of x or y and in a form similar to O A. fy(y) = for 0sys1 OB. fx(x) = for 0 sxs1 (c) What is the probability that Machine A will be busy less than one-third of the day? This probability is (Type an integer or a simplified fraction. Do not convert fractions to decimals)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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