l.{a) What is binomial distribution? What are the conditions of binomial distribution? Discuss when a binomial distribution is said to be positively skewed and when it is negatively skewed? Also discuss when a distribution is said to be symmetric, mesokurtic, platykurtic and leptokurtie? (b) Give some practical examples of binomial distribution. Determine the binomial distribution for which mean is 8 and variance is 4. (c) An agent sells life insurance policies to ve equally aged, healthy people. According to recent data, the probability of a person living in these conditions for 30 years or more is 28. Calculate the probability that after 30 years: i. all ve people are still living. ii. at least three people are still living. iii. exactly two people are still living. iv. at two people still living