Worksheet 5

Let S be the sample space for (X Y ) and for every element ? of S we haveE ( X Y ?S X ?Pr ?S X ?Pr EX EYE [ (X - EX )2] E [ (X - EX (X - EX )] give algebraic expansion , we get E [ X2 - 2X ?EX (EX )2] E X2 - 2E (X ?EX E (EX )2 Using the rule that the expectation apprize ofthe sum is the sum of the expectation values EX2 - 2EX ?EX ( EX )2 The expectation of EX is EX and the expectationof (EX )2 is (EX )2 EX2 - 2 (EX )2 (EX )2 Simplifying the previous equality we get EX2 - (EX )2s ( 1 2 2 3 4 7 9 /7 28 /7 4The standard deviation ?s is computed using the formula given to a lower place 2 .94392c ) What is the normal of the sample s ?

Explain how you came to this end d ) Can you give a sample of 5 numbers in which the mean is more than twice the median value (Write down all three , the sample of numbers , its median and its mean e ) Explain why some camp argue the median is a better indicator for a characteristic value in a sample than the meanhhMlrZHIKMTZmoyuhTFkmh-TFSHzhkhan pull up stakes for be a better indicator for a exemplary value if the mean is used instead...If you want to get a full essay, order it on our website: BestEssayCheap.com

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