Please solve all part's specially e and f 1) After measuring the wait times of customers downloading videos, YouTube found that their wait-0.04x over thetime data was well approximated by the probability density function p(x) = 0.04einterval 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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Answered: 1) After measuring the wait times of…

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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Question

Please solve all part's specially e and f

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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