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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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6c90817d-8966-4b9b-9f3a-5e7a5f3d4ab4%2F0d91bc91-bd42-4031-a734-cc4e3ca05c32%2Ffkgdtgd_processed.jpeg&w=3840&q=75)
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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