Jack is invited to play a simple game. He is supposed to toss two fair coins. If both the coins land “heads” he wins $5. If both the coins land “tails” he loses $10. Otherwise he wins $1. Let random variable X be the amount of money he wins after playing the game once. 1. On your paper write the probability distribution model (i.e. possible values and associated probabilities) for the random variable X 2. Find the expected value of random variable X. Show your work on paper 3. Find the standard deviation of random variable X. Show your work on paper
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Jack is invited to play a simple game. He is supposed to toss two fair coins. If both the coins land “heads” he wins $5. If both the coins land “tails” he loses $10. Otherwise he wins $1. Let random variable X be the amount of money he wins after playing the game once.
1. On your paper write the probability distribution model (i.e. possible values and associated probabilities) for the random variable X
2. Find the
3. Find the standard deviation of random variable X. Show your work on paper
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