1) After measuring the wait times of customers downloading videos, YouTube found that their wait time data was well approximated by the probability density function p(x) =0.04e0.04x interval 0
1) After measuring the wait times of customers downloading videos, YouTube found that their wait time data was well approximated by the probability density function p(x) =0.04e0.04x interval 0
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Please solve all part's specially e and f

Transcribed Image Text:1) After measuring the wait times of customers downloading videos, YouTube found that their wait
-0.04x over the
time data was well approximated by the probability density function p(x) = 0.04e
interval 0< x<0, where x is time measured in seconds.
a) First verify that p(x) is a valid p.d.f.
b) Now find the cumulative distribution function P(t).
c) What percentage of downloads take between 10 and 20 seconds?
d) What percentage of downloads take less than 15 seconds? More than 15 seconds?
e) Find the median wait time T.
f) Find the mean wait time x.
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