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Session Plan :
Session Plan :
10 mins: Exponential distribution function of Continuous of Random Variable with examples
10 mins: Exponential distribution function of Continuous of Random Variable with examples
10 mins: Exponential distribution function with example problems
20 mins: MGF, Mean, Variance, Memoryless property of Exponential Distribution with example problems
10 mins: Discussion and Summary
Lecture Material : (PDF, PPT)
Lecture Material : (PDF, PPT)
Unit 2.10.pdfLearning Material (IV Quadrant Approach)
Learning Material (IV Quadrant Approach)
(Q1) : Text and Image based Content (PDF/Image Formats)
(Q1) : Text and Image based Content (PDF/Image Formats)
(Q2) : Video Based Content (Youtube)
(Q2) : Video Based Content (Youtube)
(Q3) : Formative Assessment (Google Form/Any Other Online Quiz Platform)
(Q3) : Formative Assessment (Google Form/Any Other Online Quiz Platform)
(Q4) : Further Reading
(Q4) : Further Reading
Key Questions
Key Questions
1. The lifetime (in hours) of a laser diode follows an exponential distribution with mean 5000 hours.
(a) Find the probability that it lasts more than 6000 hours.
(b) Find the probability that it fails before 3000 hours.
2. Customers arrive at a service station according to a Poisson process with mean rate of 6 per hour.
(a) Find the probability that the time between arrivals is more than 15 minutes.
(b) Find the median time between arrivals.
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