Unit 1

Topics

• Basic Probability Probability spaces →
• conditional probability →
• independence; Discrete random variables →
• Independent random variables →
• the multinomial distribution →
• Poisson approximation to the binomial distribution →
• infinite sequences of Bernoulli trials →
• sums of independent random variables; Expectation of Discrete Random Variables →
• Moments →
• Variance of a sum →
• Correlation coefficient →
• Chebyshev's Inequality. →