Let X be a binomial random variable with mean 4 and variance 4/3.
(a) apply the given information and show that the largest value that X can take is 6. Hence determine P[X=5].
b) Suppose X represents the number of eggs laid each year by a certain species of bird, and the probability that any egg laid will hatch is ¾. Calculate the Probability of 5 or more eggs hatching in a single year from a random selected bird.