The time, X, for clearing side effects of water purification, in days, has the following cumulative distribution F: F(x) = 0 for x < 1 and F(x)= VX - for 1 s x s 9 and F(x) = 1 for x > 9 2 a) What is the probability density function for X for 1 s x s 9? f(x) o f(x) 2 O (x) 1. O F(x) 4x %3D O f(x) = .125 b) What is the probability that X > 5? c) What is the probability X < 5 ? d) What is the probability that X > 7? e) What is the probability that X > 6.3? f) What is the probability that X > 7 given the X > 6.3? g) Calculate the 70th percentile of x. h) What is the expected value of X? i) What is the expected value of x2 ? j) What is the variance of X? k) What is the probability that X is more than 0.1 below its expected value?

The time, X, for clearing side effects of water purification, in days, has the following cumulative distribution F: F(x) = 0 for x < 1 and F(x)= VX - for 1 s x s 9 and F(x) = 1 for x > 9 2 a) What is the probability density function for X for 1 s x s 9? f(x) o f(x) 2 O (x) 1. O F(x) 4x %3D O f(x) = .125 b) What is the probability that X > 5? c) What is the probability X < 5 ? d) What is the probability that X > 7? e) What is the probability that X > 6.3? f) What is the probability that X > 7 given the X > 6.3? g) Calculate the 70th percentile of x. h) What is the expected value of X? i) What is the expected value of x2 ? j) What is the variance of X? k) What is the probability that X is more than 0.1 below its expected value?

Name: The time, \( X \), for clearing side effects of water purification, i
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Description: The time, \( X \), for clearing side effects of water purification, in days, has the following cumulative distribution \( F \):- \( F(x) = 0 \) for \( x < 1 \) - \( F(x) = \frac{\sqrt{x}}{2} - \frac{1}{2} \) for \( 1 \leq x \leq 9 \)- \( F(x) = 1 \)

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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