2a.i). A student obtained the following answer to a certain problem given to him. Mean=2.4, variance=3.2 for a binomial distribution. Comment on the result.

ii) is there any inconsistency in the statement, the mean of binomial distribution is 40 and its standard deviation 4?. If no , inconstinency is found. What shall be the values of p,q and n.

b.A random sample of 100 items taken from a large batch of articles contains 5 defective items. I) set up 95% confidence limit for the proposition of defective items in the batch. Ii) If the batch containment items, set up 95% confidence interval for the proportion of defective items.