Lecture 4:Binomial and Poisson distribution

In this lecture we learnt two important ideas.

1. Find the mode for Poisson distribution

• Similar to Binomial distribution, the Poisson distribution has probabilities that increase to a certain level and decrease subsequently.
• Use G.C. to find the probabilities for each value of X and look for the one with highest probability.
• The mode is usually near the expectation.

2. Additive properties of Poisson Random variable

• If X~Po(a) and Y~Po(b) , where X and Y are independent, then

X+Y ~ Po (a+b)

After this lecture, you can attempt Q1,2,3,4 (except (v)) ,Q5, Q6, Q7.