(a) Find A and Ux. (Write the fraction in reduced form.) ux 214 f(x) = A |= Answer is complete and correct. (b) Write the formula for the exponential probability curve of x. 214 e^-x/ for x 2 (d) Assuming that the maintenance department's claim is true, find the probability that the time between successive breakdowns is at most 4 hours. (Round your answer to 4 decimal places.)
(a) Find A and Ux. (Write the fraction in reduced form.) ux 214 f(x) = A |= Answer is complete and correct. (b) Write the formula for the exponential probability curve of x. 214 e^-x/ for x 2 (d) Assuming that the maintenance department's claim is true, find the probability that the time between successive breakdowns is at most 4 hours. (Round your answer to 4 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
Related questions
Question
Transcribed Image Text:The maintenance department in a factory claims that the number of breakdowns of a particular machine follows a Poisson distribution
with a mean of 2 breakdowns every 428 hours. Let x denote the time (in hours) between successive breakdowns.
(a) Find λ and Ux. (Write the fraction in reduced form.)
ux
=
f(x) =
214
(b) Write the formula for the exponential probability curve of x.
P(x <4)
✔ Answer is complete and correct.
1
P(115<x<342)
e^-x/
214✔
(d) Assuming that the maintenance department's claim is true, find the probability that the time between successive breakdowns is at
most 4 hours. (Round your answer to 4 decimal places.)
for x ≥
(e) Assuming that the maintenance department's claim is true, find the probability that the time between successive breakdowns is
between 115 and 342 hours. (Round your answer to 4 decimal places.)
(f) Suppose that the machine breaks down 4 hours after its most recent breakdown. Based on your answer to part d, do you believe
the maintenance department's claim? (Round your answer to 4 decimal places.)
; the probability of this result is quite
if the claim is true.
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