Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 timeson any given day. Let Y denote the number of times a technician is called on an emergency call. Theirjoint probability distribution is given below:a. List the cumulative distribution function F(y).b. Find the conditional distribution of f (xly), P(x = 1 | Y = 3).c. Find the conditional distribution of f (xlx), P(x = 3 | Y = 3).d. Determine if the random variables are statistically independent considering f (2, 1).Xf (x, y)1230.050.050.100.050.100.350.000.200.10Y135

Answered: Image /qna-images/answer/c3d2f93b-6faa-4015-9dbb-89ee677ded21.jpg

et X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times n any given day. Let Y denote the number of times a technician is called on an emergency call. Their int probability distribution is given below: List the cumulative distribution function F(y). - Find the conditional distribution of f (xly), P(X=1 | Y = 3). Find the conditional distribution of f (xlx), P(X=3 | Y=3). Determine if the random variables are statistically independent considering f (2, 1). x f(x, y) 1 2 3 1 0.05 0.05 0.10 3 0.05 0.10 0.35 Y 5 0.00 0.20 0.10

et X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times n any given day. Let Y denote the number of times a technician is called on an emergency call. Their int probability distribution is given below: List the cumulative distribution function F(y). - Find the conditional distribution of f (xly), P(X=1 | Y = 3). Find the conditional distribution of f (xlx), P(X=3 | Y=3). Determine if the random variables are statistically independent considering f (2, 1). x f(x, y) 1 2 3 1 0.05 0.05 0.10 3 0.05 0.10 0.35 Y 5 0.00 0.20 0.10

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...

See similar textbooks