b. determine the mode of the distribution.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 56SE: Recall that the general form of a logistic equation for a population is given by P(t)=c1+aebt , such...
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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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