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Consider the following exponential probability density function. a. Which of the following is the formula for P(x ≤ xo)? 1 P(x ≤ x₁) = e = 7 2 P(z ≤ x₁) = 1-e7 3 P(x ≤ xo)=1-e- Formula #2 b. Find P(x ≤ 2) (to 4 decimals). Ⓡ c. Find P(x > 4) (to 4 decimals). d. Find P(x ≤ 6) (to 4 decimals). f(x) = e for 220 e. Find P(2 ≤ x ≤ 6) (to 4 decimals). ×

Consider the following exponential probability density function. a. Which of the following is the formula for P(x ≤ xo)? 1 P(x ≤ x₁) = e = 7 2 P(z ≤ x₁) = 1-e7 3 P(x ≤ xo)=1-e- Formula #2 b. Find P(x ≤ 2) (to 4 decimals). Ⓡ c. Find P(x > 4) (to 4 decimals). d. Find P(x ≤ 6) (to 4 decimals). f(x) = e for 220 e. Find P(2 ≤ x ≤ 6) (to 4 decimals). ×

MATLAB: An Introduction with Applications
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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Consider the following exponential probability density function. f(x) = a. Which of the following is the formula for P(x ≤ xo)? 1 P(x ≤ xo) = e 20 2 P(x ≤ xo)=1-e²7 3 P(x ≤ xo) = 1- e- Formula #2 b. Find P(x ≤ 2) (to 4 decimals). X c. Find P(x > 4) (to 4 decimals). X d. Find P(x ≤ 6) (to 4 decimals). e. Find P(2 ≤ x ≤ 6) (to 4 decimals). 1 ==e *|* for 20
Transcribed Image Text:Consider the following exponential probability density function. f(x) = a. Which of the following is the formula for P(x ≤ xo)? 1 P(x ≤ xo) = e 20 2 P(x ≤ xo)=1-e²7 3 P(x ≤ xo) = 1- e- Formula #2 b. Find P(x ≤ 2) (to 4 decimals). X c. Find P(x > 4) (to 4 decimals). X d. Find P(x ≤ 6) (to 4 decimals). e. Find P(2 ≤ x ≤ 6) (to 4 decimals). 1 ==e *|* for 20
Expert Solution
Step 1

The question is about exponential distribution

Given :

f ( x ) = 12 e-x2   for  x ≥ 0 

 

To find : 

a ) P ( x ≤ x0 )

b ) P (  x ≤ 2 )

c ) P ( x ≥ 4 )

d ) P ( x ≤ 6 )

e ) P ( 2 ≤ x ≤ 6 )

 

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