Now the group is 4500 people and 1000 of them are left-handed. As before, eight of them are selected and X - the number of left-handed among 8 - is recorded.
a) Argue why now the distribution of X has a different form than in Problem
1.
b) Calculate P{X>=4}, E(X) and Var(X). Comment on changes in values of E(X) and Var(X) between Problem 1 and 2.
c) Use empirical rule to calculate the interval, where 95% of the values of random variable X will be.