Question 8A certain employee never leaves work before 7:00 PM but always leaves within 3.4 minutes after 7:00 PM.Suppose that the time X that he leaves after 7:00 PM has the following probability density function:Jcx³ iflo otherwisewhere c is a constant. Round your answers to four decimal places.f(x) =< >a) Find the constant c. .02990≤x≤ 3.4Submit Questionb) Find the probability that he leaves less than 1.9 minutes after 7:00 PM.Q Search

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Let X be a random variable whose probability density function is plotted below. If one was to generate X by passing a uniform (0, 1) random variable through a function, then what function would you use? (your answer should be a function of x). 0.9- 0.8- 0.7- 0.6- 0.5 qula Snip 0.4 0.3- 0.2- 0.1 -2 -1.8 -1.6 -1.4 -1.2 -1 -0.8 -0.6 -0.4 -0.2 0
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The multinomial joint probability mass function becomes the binomial probability mass function when k = O 1 O 2 00
Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats, X has an exponential distribution with parameter ? = 0.01427. (a) What is the probability that the distance is at most 100 m? At most 200 m? Between 100 and 200 m? (Round your answers to four decimal places.) at most 100 m at most 200 m between 100 and 200 m (b) What is the probability that distance exceeds the mean distance by more than 2 standard deviations? (Round your answer to four decimal places.)(c) What is the value of the median distance? (Round your answer to two decimal places.)
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A certain employee never leaves work before 7:00 PM but always leaves within 3.4 minutes after 7:00 PM Suppose that the time X that he leaves after 7:00 PM has the following probability density function: