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? ii) Find the P(X = 0, Y = 1]. iii) Determine the marginal PMF of X. iv) Show whether or not X and Y independent without using marginal PMFs of X and Y.
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? ii) Find the P(X = 0, Y = 1]. iii) Determine the marginal PMF of X. iv) Show whether or not X and Y independent without using marginal PMFs of X and Y.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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