What are the expected value and standard deviation of the following probability distribution? Random Variable X...

Question

Question

What are the expected value and standard deviation of the following probability distribution?

Answer 1

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Answer #1

Given probability distribution is,

X	P(X)	X * P(X)	X² * P(X)
1	0.05	0.05	0.05
2	0.05	0.10	0.20
3	0.10	0.30	0.90
4	0.10	0.40	1.60
5	0.15	0.75	3.75
6	0.15	0.90	5.40
7	0.25	1.75	12.25
8	0.15	1.20	9.60

Therefore, expected value of X is,

E(X)= 〉 X*, P(X)= 5.45

Standard deviation of X is,

SD(X)-v Σ Χ2 * P(X)-E(X)]-V33.75-15.45]-2.0118

Answer 2

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