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ica1 - Name Ewan/9 E I UNIVERSITY OF ILLINOIS AT...

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Unformatted text preview: Name: Ewan/9% E: I UNIVERSITY OF ILLINOIS AT URBANA—CI-IAMPAIGN Actuarial Science Program DEPARTMENT OF MATHEMATICS Math 478 l 568 Prof. Rick Gorvett Actuarial Modeling Spring 2009 Ill-Class Assignment # 1 (2 problems worth 1 point each) Thursday, January 22, 2009 This assignment is open-book, open-note, and you may work together in groups of no more than 4. Each student must hand in her/his own answer sheet. Please circle your ﬁnal answers. Suppose a continuous random variable has the following probability density function (pdf): f(x)=3x"4, x>1 (1) Find the median of this distribution (to two decimal places). -3IH ,3 i = I. Z 6 (2) Find the mean of this distribution. .90 -q 0° ’3 EGG: S'X'3x so): "' 13x 1" -3 06 :: “.3— X I 3 ’3" = I. 5. 3, g 1 ..._..... ,.—---—- F"— ...
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