Answer to Question #309736 in Statistics and Probability for Happy

Question

X 3,5,7

p(3) =7/30 , p(5) = 1/3, and p(7) = 13/30

Answer 1

we define the following

mean = ( (3 * 7/30) + (5 * 1/3) + (7 * 13/30) ) = 5.4

variance = ( (3² * 7/30) + (5² * 1/3) + (7² * 13/30) ) - (5.4²)

= 31.667 - 29.16 = 2.507

standard deviation = (variance)^1/2 = (2.507)^1/2 = 1.583350877