Question

x -3 - 2 - 1 0 1 P(X = x) 0.1 0.1 0.2 0.3 0.3 Copy Data Step 2 of 5: Find the variance. Round your answer to one decimal place. E Tables Keypad Answer How to enter your answer

Answer 1

Answer:-

Given That:-

x	-3	-2	-1	0	1
P(X =x)	0.1	0.1	0.2	0.3	0.3

Find the variance?

	Input Field	Input Field
	X	P(X = x)	X*P(X = x)	X*X*P(x = x)
	-3	0.1	-0.3	0.9
	-2	0.1	-0.2	0.4
	-1	0.2	-0.2	0.2
	0	0.3	0	0
	1	0.3	0.3	0.3
Total	-5	1	-0.4	1.8

As sum of All probability is 1 so it is probability distribution

Mean of X =  $\mu$

=  $\Sigma X*P(X=x)$

= -0.4

Variance of X =  $\sigma X^2$

$=\Sigma *X*X*P(X=x)-\mu^2$

= 1.8 * -0.4 * -0.4

= 1.96

Variance of given data is 1.96

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