10 mins: Derivation of M.G.F, Mean, Variance, Memory less property
20 mins: M.G.F, Mean, Variance of Geometri Distribution with example problems
10 mins: Discussion and Summary
1. A sensor fails with probability p = 0.1 each time it is tested.
(a) Find the probability that the first failure occurs on the 4th test.
(b) Find the probability that the first failure occurs within the first 5 tests.
2. A computer network transmits data packets. Each packet has a probability of 0.05 of being corrupted.
Find the expected number of packets sent before the first corrupted one occurs.