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

Copy Data

Step 2 of 5 :

 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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