On my way out, Taylor told me that this is the PDF of her favorite distribution: √4x for 0 < x < 4(1-x) for ≤x≤1 f(x) = Unfortunately, Taylor is not sure what she can do with this function. Help a girl out. Find the expectation. • Find the variance. • Find The CDF. • Find P{X = }}. • Find P ≤X ≤}}.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Need help with bullet points 2 through 6 on this Intro to Probability and Statistics homework problem. All of these bullet points are part of the same problem. Make sure your handwriting is neat and readable.

 

I want to beat the traffic out of the show, so I am going to begin moving toward
the exit during the encore. I decided to run some statistical tests on a data set
1
of encore durations to try to figure out when to leave (no - I'm not sharing my
data). I will share the that the times were normally distributed with a sample
mean of 15 and a known population standard deviation of 1.
• Given that my 95% confidence interval was (14.5, 15.5), how many observations
were in my data set?
On my way out, Taylor told me that this is the PDF of her favorite distribution:
4x
-{4₁.
for 0<x</
[4(1-x) for ≤x≤1
f(x)=
Unfortunately, Taylor is not sure what she can do with this function. Help a
girl out.
• Find the expectation.
. Find the variance.
• Find The CDF.
• Find P{X = }}.
• Find P{ ≤X ≤ }}.
Transcribed Image Text:I want to beat the traffic out of the show, so I am going to begin moving toward the exit during the encore. I decided to run some statistical tests on a data set 1 of encore durations to try to figure out when to leave (no - I'm not sharing my data). I will share the that the times were normally distributed with a sample mean of 15 and a known population standard deviation of 1. • Given that my 95% confidence interval was (14.5, 15.5), how many observations were in my data set? On my way out, Taylor told me that this is the PDF of her favorite distribution: 4x -{4₁. for 0<x</ [4(1-x) for ≤x≤1 f(x)= Unfortunately, Taylor is not sure what she can do with this function. Help a girl out. • Find the expectation. . Find the variance. • Find The CDF. • Find P{X = }}. • Find P{ ≤X ≤ }}.
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