Unformatted text preview: Name: Ewan/9% E: I UNIVERSITY OF ILLINOIS AT URBANA—CIIAMPAIGN
Actuarial Science Program
DEPARTMENT OF MATHEMATICS Math 478 l 568 Prof. Rick Gorvett
Actuarial Modeling Spring 2009 IllClass Assignment # 1 (2 problems worth 1 point each)
Thursday, January 22, 2009 This assignment is openbook, opennote, 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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 Spring '09
 Gorvett

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