What is a random variable?
A variable that can take on certain numerical values with certain probabilities.
What is a probability distribution?
The collection of probabilities for every value of the random variable.
What is the cumulative distribution function?
The cumulative distribution function or cdf of a random variable X , denoted by F (x), is defined by F (x) = P(X ≤x),for all x
What is the probability mass function?
The probability mass function (pmf) of a discrete random variable X is given by f(x) = P(X= x), for all x
What is the probability density function?
The probability density function (pdf) of a continuous random variable X is the function that satisfies F (x) = ∫(-∞ > x) f(t)dt, for all x
What is the Bernoulli distribution?
The Bernoulli distribution is the discrete probability distribution of a random variable which takes the value 1 with probability p and the value 0 with probability q = 1−p