a) Mrs Legodi, a registered student at the University of Limpopo, tossed a fair coin three times. She decided to let X to be a random variable that takes the value 1 if the outcome of a toss is a head and the value 0 otherwise. She also defined Y to be a random variable of the total number of heads in the three tosses. i) What will be her joint probability mass function (PMF) of X and Y?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 20E
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a) Mrs Legodi, a registered student at the University of Limpopo, tossed a fair coin three
times. She decided to let X to be a random variable that takes the value 1 if the outcome
of a toss is a head and the value 0 otherwise. She also defined Y to be a random variable
of the total number of heads in the three tosses.
i) What will be her joint probability mass function (PMF) of X and Y?
Transcribed Image Text:a) Mrs Legodi, a registered student at the University of Limpopo, tossed a fair coin three times. She decided to let X to be a random variable that takes the value 1 if the outcome of a toss is a head and the value 0 otherwise. She also defined Y to be a random variable of the total number of heads in the three tosses. i) What will be her joint probability mass function (PMF) of X and Y?
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