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). ×

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 56SE: Recall that the general form of a logistic equation for a population is given by P(t)=c1+aebt , such...
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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  6 )

 

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