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.

Solve

Solution Stats

54.48% Correct | 45.52% Incorrect
Last Solution submitted on Jan 04, 2026

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers334

Suggested Problems

More from this Author99

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!