Problem 44315. Predicting life and death of a memory-less light bulb
💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 💡
You have a light bulb that can fail any moment according to the exponential probability distribution.
At any moment, the probability that it will survive just N hours = exp(-N*P), where P is a constant.
Notice that this probability is very small if N is very large.
Now suppose, the bulb has already survived N hours.
Please calculate the probability of its surviving M more hours.
Solution Stats
Problem Comments
Solution Comments
Show commentsProblem Recent Solvers326
Suggested Problems
-
Swap the first and last columns
21010 Solvers
-
2634 Solvers
-
Sum of first n terms of a harmonic progression
441 Solvers
-
Compute a dot product of two vectors x and y
1000 Solvers
-
512 Solvers
More from this Author100
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!