Answered: technician

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section: Chapter Questions

Problem 9CC

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Question

Let X denote the number of times a certain numericalcontrol machine will malfunction: 1, 2, or 3times on any given day. Let Y denote the number oftimes a technician is called on an emergency call. Theirjoint probability distribution is given below:

a.Find the marginal distributiong(x), x= 1, 2, 3.
b.Find the marginal distributionh(y), y= 1, 2, 3.
c.List thecumulativedistribution function F(x).
d.List thecumulativedistribution function F(y).
e.Find the conditional distribution of f(x|y), P(X = 1 | Y = 3).
f.Find the conditional distribution of f(y|x), P(X = 3| Y = 3).
g.Determine if the random variables are statistically independentconsidering f(2, 1).