a. Which of the following is the formula for P(a < ao) 1 P(æ < ®o) = e 2 P(z< #0) = 1 – e? 3 P(x< xo) = 1- e "0 Formula #2 b.Find P(æ < 1) (to 4 decimals). c. Find P(æ > 3) (to 4 decimals). d.Find P(x < 6) (to 4 decimals).
a. Which of the following is the formula for P(a < ao) 1 P(æ < ®o) = e 2 P(z< #0) = 1 – e? 3 P(x< xo) = 1- e "0 Formula #2 b.Find P(æ < 1) (to 4 decimals). c. Find P(æ > 3) (to 4 decimals). d.Find P(x < 6) (to 4 decimals).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the following exponential probability density function.
1
f(2) = e
for a >0
= - e
a. Which of the following is the formula for P(x < #0) ?
1 P(x < #o)
= e
4
2 P(2 < #0) = 1-e?
3 P(r< xo) =1-e-0
Formula #2
b.Find P(x < 1) (to 4 decimals).
c. Find P(x > 3) (to 4 decimals).
d.Find P(x < 6) (to 4 decimals).
e.Find P(1 <a < 6) (to 4 decimals).
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