Question

Consider the probability distribution shown below. x 0 1 2 P(x) 0.65 0.30 0.05 Compute the...

Consider the probability distribution shown below.

x 0 1 2
P(x) 0.65 0.30 0.05

Compute the expected value of the distribution.


Compute the standard deviation of the distribution. (Round your answer to four decimal places.)

Homework Answers

Answer #1

Solution:

x P(x) x * P(x) x2 * P(x)
0 0.65 0 0
1 0.3 0.3 0.3
2 0.05 0.1 0.2
Sum 1 0.4 0.5

Mean = X * P(X)

= 0.4

Standard deviation =

=X 2 * P(X) - 2

=  0.5 - (0.4)2 = 0.34

Standard deviation = = 0.5831

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