Question

Compute the variance of the probability distribution in the table below.

Find the variance.

σ2= ?

​(Type an integer or a​ decimal.)

| Outcome Probability 77 0.4 780. 23 0.1 0.3 80

Answer 1

The varience of the probability distribution table is calculated above.

the probability, Compute the varience of distribution Outione Probability x x P(x) X P(x) • P(x) 30.8 77 5929 04 2371.6 | 1216.8 0.2 15.6 78 6084 16241 7.9 624.1 80 03 6400 24 1920 78.3 6132.5 EXP(x) = 78.3 EX²P(x) = 6132.5 Here we have calculated EP(x)x= 0.4 + 0.2 + 0.1 +0.3 E(X) = EXP(x) = 78.3 E(X²) = {X²P(x) =6132-5 Var(x) = Elx?- E(X)] = 6132.5- (18.3) = 1.6) = 1

The varience

  $\sigma^2 = 1.61$