Problem 3. (16 points) Let ¢ be a point selected at random uniformly from the unit interval [0,1].Consider the random variable X = es.(a)(b)ts) Sketch X as a function of C.Find and plot the CDF of X.(c)Find the probability of the events {X > √e} and {e0.25 < X ≤ e0.75}.

Part (a): Sketch X as a function of ζ.The random variable X is defined as X = e^ζ, where ζ is…

Answered: Problem 3. (16 points) Let ¢ be a point…

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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When a man observed a sobriety checkpoint conducted by a police department, he saw 656 drivers were screened and 5 were arrested for driving while intoxicated. Based on those results, we can estimate that P(W)equals=0.00762,where W denotes the event of screening a driver and getting someone who is intoxicated. What does P(W) denote, and what is its value? What does P(W) represent? P(W)=
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X P(x) =C p*q"-x %3D When processing credit-card applications there is a 40% chance that an application will have incomplete or insufficient information and require research. You have 5 applications in your to-do pile and would like to leave early today. (a) Fill in the values: n = q = (b) What is the probability of exactly three applications needing research? (enter a number between 0 and 1, 4 decimal places) Answer= (c) What is the expected number of applications that will need research? Answer= (d) What is the probability of having AT LEAST the expected number of applications needing research? (enter a number between 0 and 1, 4 decimal places) Answer= Please answer all parts of the question.
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Problem 3. (16 points) Let ¢ be a point selected at random uniformly from the unit interval [0,1]. Consider the random variable X = es. (a) (b) ts) Sketch X as a function of C. Find and plot the CDF of X. (c) Find the probability of the events {X > √e} and {e0.25 < X ≤ e0.75}.