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Problem 1: Joint, Conditional, Marginal Probability Suppose we throw a fair six-sided die twice in a row. Let A be a random variable representing the number on the first throw, and B be the number on the second throw. Let S be the sum of both throws. What are the following probabilities? a) P(A=1, B = 2 |S = 3) b) P(S =3|A= 1, B = 2) c) P(A= 1, B = 2 | S = 4) d) P(A=1|S= 6) e) P(A=3|S = 6) f) P(A =1|S = 2) 9) P(S = 10) h) P(S = 6)

Problem 1: Joint, Conditional, Marginal Probability Suppose we throw a fair six-sided die twice in a row. Let A be a random variable representing the number on the first throw, and B be the number on the second throw. Let S be the sum of both throws. What are the following probabilities? a) P(A=1, B = 2 |S = 3) b) P(S =3|A= 1, B = 2) c) P(A= 1, B = 2 | S = 4) d) P(A=1|S= 6) e) P(A=3|S = 6) f) P(A =1|S = 2) 9) P(S = 10) h) P(S = 6)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Problem 1: Joint, Conditional, Marginal Probability Suppose we throw a fair six-sided die twice in a row. Let A be a random variable representing the number on the first throw, and B be the number on the second throw. Let S be the sum of both throws. What are the following probabilities? a) P(A = 1, B = 2|S = 3) b) P(S = 3| A = 1, B = 2) c) P(A= 1, B = 2 | S = 4) d) P(A =1|S = 6) e) P(A = 3|S = 6) f) P(A=1|S = 2) 9) P(S = 10) h) P(S = 6)
Transcribed Image Text:Problem 1: Joint, Conditional, Marginal Probability Suppose we throw a fair six-sided die twice in a row. Let A be a random variable representing the number on the first throw, and B be the number on the second throw. Let S be the sum of both throws. What are the following probabilities? a) P(A = 1, B = 2|S = 3) b) P(S = 3| A = 1, B = 2) c) P(A= 1, B = 2 | S = 4) d) P(A =1|S = 6) e) P(A = 3|S = 6) f) P(A=1|S = 2) 9) P(S = 10) h) P(S = 6)
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