Consider the following exponential probability density function. 1 f(x) = — - e-x/³ for x ≥ 0 3 (a) Write the formula for P(x ≤ xo). (3) p(x≤x0) = 1-e X (b) Find P(x ≤ 2). (Round your answer to four decimal places.) 0.3935 X (c) Find P(x > 3). (Round your answer to four decimal places.) 0.3679 (d) Find P(x ≤ 5). (Round your answer to four decimal places.) 0.7135 X (e) Find P(2 ≤ x ≤ 5). (Round your answer to four decimal places.)
Consider the following exponential probability density function. 1 f(x) = — - e-x/³ for x ≥ 0 3 (a) Write the formula for P(x ≤ xo). (3) p(x≤x0) = 1-e X (b) Find P(x ≤ 2). (Round your answer to four decimal places.) 0.3935 X (c) Find P(x > 3). (Round your answer to four decimal places.) 0.3679 (d) Find P(x ≤ 5). (Round your answer to four decimal places.) 0.7135 X (e) Find P(2 ≤ x ≤ 5). (Round your answer to four decimal places.)
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.
1
f(x) = — - e-x/³ for x ≥ 0
3
(a) Write the formula for P(x ≤ xo).
(3)
p(x≤x0) = 1-e
X
(b) Find P(x ≤ 2). (Round your answer to four decimal places.)
0.3935
X
(c) Find P(x > 3). (Round your answer to four decimal places.)
0.3679
(d) Find P(x ≤ 5). (Round your answer to four decimal places.)
0.7135
X
(e) Find P(2 ≤ x ≤ 5). (Round your answer to four decimal places.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7a1c1730-4c92-4161-b3da-24feb6553e9f%2F0973f954-20bc-4f57-8c2b-f4a1417068af%2Fjmisvka_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following exponential probability density function.
1
f(x) = — - e-x/³ for x ≥ 0
3
(a) Write the formula for P(x ≤ xo).
(3)
p(x≤x0) = 1-e
X
(b) Find P(x ≤ 2). (Round your answer to four decimal places.)
0.3935
X
(c) Find P(x > 3). (Round your answer to four decimal places.)
0.3679
(d) Find P(x ≤ 5). (Round your answer to four decimal places.)
0.7135
X
(e) Find P(2 ≤ x ≤ 5). (Round your answer to four decimal places.)
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