How do I find the cummulative distribution. When a motorist stops at a red light at a certain intersection, the waiting time for the light to turn green,in seconds, is uniformly distributed on the interval (5, 50). Let X be the waiting time for the light to turngreen in seconds. Find the following: e) What is the cumulative density function of X?

Solution-: Given: a=5, b=50 Let, X- be the waiting time for the light to turn green in seconds ∴X→U(a=5,b=50) The p.d.f. of X is given by, f(x)=1b-a=150-5=145 ;5≤X≤50 =0 ; Otherwise The cumulative distribution function of x is, F(x)=P[X≤x]=x-ab-a F(x)=x-550-5=x-545

Answered: e) What is the cumulative density…

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Probability

e) What is the cumulative density function of X?

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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