3) Let X refers the time to failure of a machine component. Suppose the pdf of X is flx) = 32/(x + 4)* for x > 0. a. Verify that if the f(x) is a legitimate pdf. b. Determine the cdf. c. Use the previous result (part b) and calculate the probability that time to failure is b 2. and 4 unit of time. d. What is the expected time until failure?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.4: Hyperbolas
Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
icon
Related questions
Topic Video
Question
3) Let X refers the time to failure of a machine component. Suppose the pdf of X is
f(x) = 32/(x + 4)' for x > 0.
a. Verify that if the f(x) is a legitimate pdf.
b. Determine the cdf.
c. Use the previous result (part b) and calculate the probability that time to failure is b
2/2
and 4 unit of time.
d. What is the expected time until failure?
Transcribed Image Text:3) Let X refers the time to failure of a machine component. Suppose the pdf of X is f(x) = 32/(x + 4)' for x > 0. a. Verify that if the f(x) is a legitimate pdf. b. Determine the cdf. c. Use the previous result (part b) and calculate the probability that time to failure is b 2/2 and 4 unit of time. d. What is the expected time until failure?
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning