b. determine the mode of the distribution.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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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
Transcribed Image Text: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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