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1. Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call. Their joint probability distribution is given below: f(x,y) 1 2 3 I 1 0.10 0.10 0.03 y 2 3 0.05 0.02 0.35 0.05 0.10 0.20 n. Find the conditional distribution of f(ylx), P(Y= 1 | X= 1). o. Find the conditional distribution of f(x), P(Y=1|X= 2). p. Find the conditional distribution of f(ylx), P(Y= 1 | X = 3).

1. Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call. Their joint probability distribution is given below: f(x,y) 1 2 3 I 1 0.10 0.10 0.03 y 2 3 0.05 0.02 0.35 0.05 0.10 0.20 n. Find the conditional distribution of f(ylx), P(Y= 1 | X= 1). o. Find the conditional distribution of f(x), P(Y=1|X= 2). p. Find the conditional distribution of f(ylx), P(Y= 1 | X = 3).

A First Course in Probability (10th Edition)
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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1. Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call. Their joint probability distribution is given below: f(x,y) 1 2 3 I 2/2 3 0.10 0.05 0.02 0.10 0.35 0.05 0.03 0.10 0.20 n. Find the conditional distribution of f(x), P(Y = 1|X = 1). o. Find the conditional distribution of f(ylx), P(Y=1|X=2). p. Find the conditional distribution of f(ylx), P(Y=1|X = 3).
Transcribed Image Text:1. Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call. Their joint probability distribution is given below: f(x,y) 1 2 3 I 2/2 3 0.10 0.05 0.02 0.10 0.35 0.05 0.03 0.10 0.20 n. Find the conditional distribution of f(x), P(Y = 1|X = 1). o. Find the conditional distribution of f(ylx), P(Y=1|X=2). p. Find the conditional distribution of f(ylx), P(Y=1|X = 3).
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