Question

Consider the following data: x −4 −3 −2 −1 0 P(X=x)P(X=x) 0.3 0.1 0.1 0.2 0.3...

Consider the following data:

x −4 −3 −2 −1 0
P(X=x)P(X=x) 0.3 0.1 0.1 0.2 0.3

Copy Data

Step 2 of 5 :

Find the variance. Round your answer to one decimal place.

Homework Answers

Answer #1
Input Field Input Field
X P(X = x) X*P(X =x) X*X*P(X =x)
-4 0.3 -1.2 4.8
-3 0.1 -0.3 0.9
-2 0.1 -0.2 0.4
-1 0.2 -0.2 0.2
0 0.3 0 0
Total -10 1 -1.9 6.3
As sum of All probability is 1 so it is probability distribution
Mean Of X = µ = Σ x * P(X=x)            = -1.9
Variance of X    = σx^2 = Σ x*x * P(X=x)   - µ^2    = 6.3 - -1.9*-1.9     = 2.69
Standard deviation X    = σx^2 = SQRT(Variance)   =       1.640121947

Variance for give data is 2.69

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