**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 ...
**Definition** We say a continuous random variable $$\mathbb{X}$$ is has a exponential distribution with parameter $$\lambda$$, denoted $$\mathbb{X} \sim exp(\lambda ...
A random variable that can take only a certain specified set of individual possible values-for example, the positive integers 1, 2, 3, . . . For example, stock prices are discrete random variables, ...
In a raffle with 20 tickets, 6 tickets are drawn for prizes. The first prize winner gets $\$20$, 2 second prize winners get $\$10$, and three third prize winners get $\$5$. What is the sample space ...
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