ECO220Y5 Study Guide - Final Guide: Mutual Exclusivity, Interquartile Range, Bias Of An Estimator

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2 Dec 2017
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Using the mean, median, range, interquartile range and coefficient of variation describe the similarities and differences between the two sections of students. For a mean=(10. 2+11+ +15. 2+16)/10=13. 3 median=(13+14. 2)/2=13. 6 range=16-10. 2=5. 8 interquatile range=x10(0. 75)-x10(0. 25)=x7. 5-x2. 5=(14. 8+15)/2 - (11+11. 5)/2=14. 9-11. 25=3. 65 coefficient of variance= v x =2. 01/13. 3=0. 15 standard deviation= (cid:4666)x x (cid:4667)(cid:2870) (cid:4666)n (cid:883)(cid:4667) When the first child is male the parameter is 0. 239, when the first child is female the parameter is 0. 288. For b: mean=13. 3 median=13. 6 range=7. 8 interquartile range=15. 35-10. 5=4. 85 coefficient of variance=0. 204. Similarities: both of them have same mean and median. X~binomial(8,0. 2) n=8 p=0. 2: e(x)=np=8(0. 2)=1. 6 v(x)=np(1-p)=8(0. 2)(1-0. 2)=1. 28, p(x>1|x 1) = p(x>1 x 1)/p(x 1) = p(x>1)/p(x 1) = [1-p(x=0)-p(x=1)]/[1-p(x=0)] = (1-0. 1678-0. 3355)/(1-0. 1678) = 0. 5969. * 0. 2 * (0. 8)7 = 0. 3355: x~n(9,9) and y=6+x/3. Difference two sets a and b, when a and b have no elements in common, a b= and a ac= , it is mutually exclusive events. Otherwise, it is independent events which mean that two events can happen in the same time.