Q3. You are performing a cohort study. If the probability of developing disease in the exposed group

is 0.05 for the study duration, then if you sample (randomly) 477 exposed people, how many do you

expect to develop the disease? What's the probability that at least 5 exposed subjects develop the

disease?

Q4. If the probability of being a smoker among a group of cases with lung cancer is 0.55, What's the

probability that in a group of 10 cases you have less than 2 smokers? More than 5? What are the

expected value and variance of the number of smokers?

Q2. Suppose the bivariate probability distribution of random vector (X, Y) is given according to the entries in the following table, Show that the random variables X and Y are not independent and nd P(X = UlY = 2), P(X = 1|Y = 2),P(X 2 2|?\" 2 2)