You are allowed to toss a fair coin either five times or until tails appears, whichever occurs first. You receive starting capital of $10 when the first toss results in heads; otherwise, you receive nothing. Each subsequent toss that results in heads doubles your current capital. Let the random variable X be the end capital you will get. What is the probability mass function of X?
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.
You are allowed to toss a fair coin either five times or until tails appears, whichever occurs first. You receive starting capital of $10 when the first toss results in heads; otherwise, you receive nothing. Each subsequent toss that results in heads doubles your current capital. Let the random variable X be the end capital you will get. What is the probability mass
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