Homework Help is Here – Start Your Trial Now!
Math
Statistics
The variance, 6², of a probability distribution is used to describe the spread of the values of the random variable. The formula for the variance of a probability distribution is given below. 6² = Σ(x-μ)²f(x) The mean, μ, is needed to calculate the variance. We found E(x) = μ = 8. Again, the use of a table will help organize the necessary values to find the variance. X 4 8 12 x-μ 4-8=-4 0 4 (x-μ)² (-4)² = 16 4 0 Thus, the variance is ² = 5 f(x) 0.50 0.25 16(0.25) = 4 X 0.25 X (x- 0 -μ)² f(x) 1 = 0² = [(x-μ)²f(x) X 5 X

The variance, 6², of a probability distribution is used to describe the spread of the values of the random variable. The formula for the variance of a probability distribution is given below. 6² = Σ(x-μ)²f(x) The mean, μ, is needed to calculate the variance. We found E(x) = μ = 8. Again, the use of a table will help organize the necessary values to find the variance. X 4 8 12 x-μ 4-8=-4 0 4 (x-μ)² (-4)² = 16 4 0 Thus, the variance is ² = 5 f(x) 0.50 0.25 16(0.25) = 4 X 0.25 X (x- 0 -μ)² f(x) 1 = 0² = [(x-μ)²f(x) X 5 X

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
See similar textbooks
icon
Related questions
Question
Step 2 (b) Compute o², the variance of x. The variance, 6², of a probability distribution is used to describe the spread of the values of the random variable. The formula for the variance of a probability distribution is given below. 0²= [(x-μ)²f(x) The mean, μ, is needed to calculate the variance. We found E(x) = μ = 8. Again, the use of a table will help organize the necessary values to find the variance. X 4 8 12 x-μ 48-4 Submit 0 Need Help? 4 Thus, the variance is ² 4 Read It (x-μ)² (-4)² = 16 0 = 5 X Skip (you cannot come back) f(x) 0.25 16(0.25) = 0.50 0.25 X (x-µ)²f(x) 0² 0 1 4 5 X = Σ(x-μ)²F(x) X
Transcribed Image Text:Step 2 (b) Compute o², the variance of x. The variance, 6², of a probability distribution is used to describe the spread of the values of the random variable. The formula for the variance of a probability distribution is given below. 0²= [(x-μ)²f(x) The mean, μ, is needed to calculate the variance. We found E(x) = μ = 8. Again, the use of a table will help organize the necessary values to find the variance. X 4 8 12 x-μ 48-4 Submit 0 Need Help? 4 Thus, the variance is ² 4 Read It (x-μ)² (-4)² = 16 0 = 5 X Skip (you cannot come back) f(x) 0.25 16(0.25) = 0.50 0.25 X (x-µ)²f(x) 0² 0 1 4 5 X = Σ(x-μ)²F(x) X
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS