Random variables X and Y are independent. They have probabilities given here:P(X)YP(Y)10.530.220.14m30.4It is understood that 'm' has a numeric value.Let T be a random variable equal to the sum of X and Y.Find P(T=4)

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Random variables X and Y are independent. They have probabilities given here: P(X) Y P(Y) 1 0.5 3 0.2 2 0.1 4 m 0.4 It is understood that 'm' has a numeric value. Let T be a random variable equal to the sum of X and Y. Find P(T=4)

Random variables X and Y are independent. They have probabilities given here: P(X) Y P(Y) 1 0.5 3 0.2 2 0.1 4 m 0.4 It is understood that 'm' has a numeric value. Let T be a random variable equal to the sum of X and Y. Find P(T=4)

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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Question

Random variables X and Y are independent. They have probabilities given here:
P(X)
Y
P(Y)
1
0.5
3
0.2
2
0.1
4
m
3
0.4
It is understood that 'm' has a numeric value.
Let T be a random variable equal to the sum of X and Y.
Find P(T=4)

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