Question

xi 0          1           2          3 P(X = xi) 0.20     0.30&n

xi

0          1           2          3

P(X = xi)

0.20     0.30      0.40     0.10

What is the standard deviation of X?

A

0.840
B

0.090
C

1.345
D

0.917
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution:

x P(x) x * P(x) x2 * P(x)
0 0.2 0 0
1 0.3 0.3 0.3
2 0.4 0.8 1.6
3 0.1 0.3 0.9
Sum 1 1.4 2.8

Mean = X * P(X)

= 1.4

Standard deviation =

=X 2 * P(X) - 2

=  2.8 - (1.4)2 = 0.84

Standard deviation = = 0.917

option D is correct

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