Let Y be a random variable with the following cumulative distribution function. if y < 1 if y E [1,2) 1- y? F (y) 7 8 if y E [2,3) 15 if y E [3,4) 16 1 1. y? if y 24 | Find the median (50th percentile). Note. Please round your final answer to 4 decimal places.
Let Y be a random variable with the following cumulative distribution function. if y < 1 if y E [1,2) 1- y? F (y) 7 8 if y E [2,3) 15 if y E [3,4) 16 1 1. y? if y 24 | Find the median (50th percentile). Note. Please round your final answer to 4 decimal places.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Let Y be a random variable with the following cumulative distribution function.
if y < 1
1
if y e [1,2)
1
y2
7
8
15
if y e [2, 3)
if y E [3, 4)
if y >4
F (y)
16
1
y?
Find the median (50th percentile).
Note. Please round your final answer to 4 decimal places.
Transcribed Image Text:Let Y denote any random variable. If 0 < p < 1, the pth quantile of Y,
denoted by ø, is the smallest value such that P(Y < ¢q) = F(Øp) > p. If Y
is continuous, Øp is the smallest value such that F(øp)
Some prefer to call ø, the 100pth percentile of Y.
= P(Y < Pp) = p.
%D
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