1. p(x) = 0.2e-0.2xis a valid probability distribution function on the interval [0,-).(a) Use an integral equation to find the 90th percentile of the distribution, accurate to 0.001.а(b) Use x = fx. p(x) dx to prove that the average x-value is exactly 5.Doleme

Answered: 1. p(x)=0.2 e 02x is a valid…

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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This exercise requires the use of a graphing calculator or computer programmed to do numerical integration. The normal distribution curve, which models the distributions of data in a wide range of applications, is given by the function 1 p(x) = e (x - 1)?/(202), V 2n 0 where n = 3.14159265... and o and u are constants called the standard deviation and the mean, respectively. Its graph (for o = 1 and u = 2) is shown in the figure. f(x) 0.3 0.2 0.1 3 4 5 With o = 3 and u = 0, approximate p(x) dx. (Round your answer to four decimal places.)
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The probability density function of the time it takes a hematology cell counter to complete a test on a blood sample is f(x) = 0.04 for 58 < x< 83 seconds. Round your answers to 2 decimal places. (a) What proportion of tests require more than 70 seconds to complete? i (b) What proportion of tests require less than one minute to complete? i (c) Determine the mean and variance of the time to complete a test on a sample. Mean = i seconds Variance = i seconds?

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1. p(x)=0.2 e 02x is a valid probability distribution function on the interval [0,∞). (a) Use an integral equation to find the 90th percentile of the distribution, accurate to 0.001. а S (b) Use x = fx. p(x) dx to prove that the average x-value is exactly 5. D O