Question

ILL Give Brainliest, What is the standard deviation of the probability distribution below?


x P(X = x)

10 .27

20 .28

30 .45


$•\alpha = 68.76\\•\alpha = 21.80\\•\alpha = 544.00\\•\alpha = 8.29$

Answer 1

Answer:

8.29

Step-by-step explanation:

E(x) =mean of x = sum of (x values times corresponding probabilities)

= 10 * 0.27 + 20 * 0.28 + 30 * 0.45 = 21.8

E(x^2) = sum of (squared x values times corresponding probabilities)

= 100*.27 + 400*.28 + 900*.45 = 544

Variance(x) = E(x^2) -(E(x))^2 = 544 - (21.8)^2 = 68.76

Standard deviation(x) = sqrt(Variance(x)) = 8.3