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?

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Need help with this Intro to Probability and Statistics homework 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:
f (x) =
for 0 < x <
for<r <1
4(1-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: f (x) = for 0 < x < for<r <1 4(1-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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