×
Get Full Access to Advanced Engineering Mathematics - 9 Edition - Chapter Chapter 24 - Problem 24.5
Get Full Access to Advanced Engineering Mathematics - 9 Edition - Chapter Chapter 24 - Problem 24.5

×

# Find the probability that none of the three bulbs in a

ISBN: 9780471488859 172

## Solution for problem 24.5 Chapter Chapter 24

Advanced Engineering Mathematics | 9th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

Advanced Engineering Mathematics | 9th Edition

4 5 1 385 Reviews
31
0
Problem 24.5

Find the probability that none of the three bulbs in a traffic signal must be replaced during the first 1200 hours of operation if the probability that a bulb must be replaced is a random variable X with density f(x) = 6[0.25 - (x - 1.5)2] when 1 ~ x ~ 2 and fIx) = 0 otherwise. where x is time mea~ured in mUltiples of 1000 hours.

Step-by-Step Solution:
Step 1 of 3

Calculus notes for the week of 10/3/16 4.1 Maxima and Minima and 4.2 What Derivatives Tell Us 15 10 5 01 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 -5 -10 -15 f has a local maximum at c if f(c) > f(x) for all x sufficiently close to c. f has a local minimum at c if f(c) < f(x) for all x sufficiently close to c. We see that, if f is differentiable at a local extremum (c), then f’(c) = 0. It is impossible that f is not differentiable at a local extremum. Definition: f has a critical point at x if f ’(x) = 0 or f ’(x) DNE. Coordinates for local extremum will be critical points. We see that, if f ‘(x) is negative on an interval I, then f is decreasing on I. If f ‘(x) is positive on an interval I, then f is

Step 2 of 3

Step 3 of 3

#### Related chapters

Unlock Textbook Solution