Find the median (50th percentile). Note. Please round your final answer to 4 decimal places.

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Chapter1: Starting With Matlab
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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
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
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 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.
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