DBATU’s placement cell reports that companies like Infosys, TCS, and CoreEL Technologies ask basic probability questions during interviews (e.g., expected value puzzles).
Random processes extend probability into the dimension of time, crucial for signal processing and communication. probability theory and random processes dbatu
(a) State and prove Bayes’ theorem. A communication system transmits binary digits. The probability of error is 0.1. If 60% of digits are ‘1’ and 40% are ‘0’, and probability of receiving ‘1’ given ‘0’ sent is 0.2, find the probability that ‘1’ was sent given ‘1’ received. (b) Derive the mean and variance of Binomial distribution. probability theory and random processes dbatu