Question

Find the variance of the probability distribution.

A) Calculate using the Mean
B) Use the Standard Deviation
C) Employ the Covariance
D) Utilize the Expectation

Answer 1

The variance of a probability distribution can be found using the mean and the probability of each outcome. The formula for the variance of a discrete random variable X is given as: Var(X) = Σ (x - µ)² * P(x). To find the variance, you need to calculate the deviation of each outcome from the mean, square it, multiply it by its probability, and sum all the products. Then, you can find the standard deviation by taking the square root of the variance.

Step-by-step explanation:

The variance of a probability distribution can be found using the mean and the probability of each outcome. The formula for the variance of a discrete random variable X is given as:

Var(X) = Σ (x - µ)² * P(x)

Where x represents the values of the random variable X, µ is the mean of X, and P(x) represents the corresponding probability. To find the variance, you need to calculate the deviation of each outcome from the mean, square it, multiply it by its probability, and sum all the products. Then, you can find the standard deviation by taking the square root of the variance.