**Definition** We say a discrete random variable $$\mathbb{X}$$ is a Bernoulli random variable with parameter $$p$$, or has a Bernoulli distribution with parameter ...
Example 1: A coin is flipped. Random variable X takes the value 1 if the coin lands heads, and X takes the value 0 if the coin shows tails. Example 2: Three balls are drawn without replacement from a ...
In the board game "Chick-a-Pig," a cow that sits in the center of the board and creates an obstacle for players attempting to move across the board. On each turen, a player rolls a die to determine ...
If X 1, X 2, ... is a sequence of independent Bernoulli random variables, the number of successes in the first n trials has a binomial distribution and the number of failures before the rth success ...
This is a preview. Log in through your library . Abstract Let ε₁, ...., εn be independent identically distributed Rademacher random variables, that is ℙ{εi = ±1} = 1/2. Let Sn = a₁ε₁ + ... + anεn, ...
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