SOLUTION: The following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the past six months. x 0 1 2 3 4 5 P(

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Question 1149778: The following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the past six months.
x 0 1 2 3 4 5
P(X=x) 0.20 0.25 0.20 0.15 0.10 0.10

What is the standard deviation of X?

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
E(x) is sum of all x*p(x)
=0+0.25+0.40+0.45+0.40+0.50
=2
V(x)=sum of sqrt (differences)^2*x
=4(0.20)=0.80
+0.25+0+0.15+0.40+0.90=2.50
sd is sqrt (V)=sqrt(2.5)=1.58

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