# Question: The formula for finding the variance for a probability distribution

The formula for finding the variance for a probability distribution is

σ2 = ∑(X- μ)2. P(X)

Verify algebraically that this formula gives the same result as the shortcut formula shown in this section.

σ2 = ∑(X- μ)2. P(X)

Verify algebraically that this formula gives the same result as the shortcut formula shown in this section.

## Relevant Questions

In a recent promotional campaign, a company offered these prizes and the corresponding probabilities. Find the expected value of winning. The tickets are free. If the winner has to mail in the winning ticket to claim the ...A concerned parents group determined the number of commercials shown in each of five children’s programs over a period of time. Find the mean, variance, and standard deviation for the distribution shown. Fifty three percent of all persons in the U.S. population have at least some college education. Choose 10 persons at random. Find the probability that a. Exactly one-half have some college education 0.242 b. At least 5 do ...It is reported that 77% of workers aged 16 and over drive to work alone. Choose 8 workers at random. Find the probability that a. All drive to work alone b. More than one-half drive to work alone c. Exactly 3 drive to work ...According to the manufacturer, M&M’s are produced and distributed inthe following proportions: 13% brown, 13% red, 14% yellow, 16% green, 20% orange, and 24% blue. In a random sample of 12 M&M’s, what is the probability ...Post your question