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)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd7186c22-1d5f-4562-800f-1053c3778616%2F4d9b2c15-ec07-4e12-9a17-219a14ae1188%2Fjthtvg_processed.png&w=3840&q=75)
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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