A friend of yours suggests the following game: he simultaneously tosses a 10-cent coin and a quarter-cent coin. If both coins land on TAILS he gives you $5; otherwise you must give him $2. 1) Let the random variable X = “gain pocketed after a toss”. Give the probability distribution of X. 2) Calculate the expectation and variance of X

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
Question

A friend of yours suggests the following game: he simultaneously tosses a 10-cent coin and a quarter-cent coin. If both coins land on TAILS he gives you $5; otherwise you must give him $2.

1) Let the random variable X = “gain pocketed after a toss”. Give the probability distribution of X.

2) Calculate the expectation and variance of X

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