Probability

• A random variable is a real-valued function whose domain is the sample space of a random experiment.
• The probability distribution of a random variable X is the system of numbers:

Where,

Here, the real numbers x₁, x₂, …, x_n are the possible values of the random variable X and p_i (i = 1, 2, …, n) is the probability of the random variable X taking the value of x_i i.e., P(X = x_i) = p_i

• Mean/expectation of a random variable: Let X…