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2 years ago

Find the mean, variance, and standard deviation of the following probability

Mathematics

1 answer:

ElenaW [278]2 years ago

3 0

Answer:

5.1 ; 8.29 ; 2.879

Step-by-step explanation:

Given :

Number of Computer Sold X

Probability P(x)

0.1

0.2

0.3

0.2

Mean = E(X) = Σ(x*p(x)

E(X) = (0*0.1) + (2*0.2) + (5*0.3) + (7*0.2) + (9*0.2)

E(X) = 5.1

Variance, Var(X) = Σx²p(x) − E(X)²

Var(X) = [(0^2*0.1) + (2^2*0.2) + (5^2*0.3) + (7^2*0.2) + (9^2*0.2)] - 5.1^2

Var(X) = 34.3 - 26.01 = 8.29

Standard deviation ; Std(X) = √Var(X) = √8.29 = 2.879

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