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DIR Return to: Questions for R / RStudio (Spring 2023)
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#Post#: 71--------------------------------------------------
Homework 9 Problem 1.2
By: Cat Date: April 24, 2023, 4:08 pm
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Good afternoon guys, Could you please provide some hint on how
do we obtain M in this problem? I'm kind of confused that isn't
the population median just median(exp_rv) here? and how do we
use qexp to get this.
Besides, does the f^2(M) in the formula implies that we need to
plug this M into function f and take sqaure of it. ???
#Post#: 72--------------------------------------------------
Re: Homework 9 Problem 1.2
By: Taeho Kim Date: April 26, 2023, 8:15 am
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Hi Cat,
I have almost missed this one as the subject is referring HW 9.
::)
median() provides us a sample median. We can use it to obtain an
estimate; whereas,
M (Median) is a population median, that splits a population
density in half in terms of the area.
So, the left hand side area is 0.5 and the right hand side area
is 0.5 from the M.
(Note also that an area under a density always means
probability.)
Now, the quantile function (or inverse cdf) provides us a
"point" when the left-hand side probability (area) from the
point is given.
When the population distribution is exponential, qexp() is the R
built-in quantile function, so what would you plug in there to
obtain the M?
Once you obtain the M, the notation f() is the density, given
exponential we can use dexp()!
Please feel free to let me know if you have any further
questions.
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