Q20B only 20 A continuous random variable, Y has a probability density functionc(3– y³), 0 E(Y)).b. determine the mode of the distribution.c. show that the median, m of the distribution satisfies the equation m² – 9m + 5 =%3D

Name: Q20B only 20 A continuous random variable, Y has a probability density
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Description: Q20B only 20 A continuous random variable, Y has a probability density functionc(3– y³), 0 E(Y)).b. determine the mode of the distribution.c. show that the median, m of the distribution satisfies the equation m² – 9m + 5 =%3D

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Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Q20B only

20 A continuous random variable, Y has a probability density function
c(3– y³), 0<y<2
, otherwise
S(y) =-
3
3
Show that c = and E(Y) =
10
Hence,
a. calculate P(Y > E(Y)).
b. determine the mode of the distribution.
c. show that the median, m of the distribution satisfies the equation m² – 9m + 5 =
%3D

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