(a) If X- Bin(8,0.6), find (i) P(X = 0) (ii) P(X <4) (4 Marks) (b) A coin is biased so that it is twice

(a) If X- Bin(8,0.6), find (i) P(X = 0) (ii) P(X 3) iii) The mean and variance of X (2 Marks) (2 Marks) (3 Marks) (b) In a lot of 40 light bulbs, there are 5 bad bulbs. An inspector inspects 8 bulbs selected at random. Find the probability of finding (3 Marks) (3 Marks) , let X represent the number of i) Two defective bulbs ii) At most two defective bulbs (c) In repeated Bernoulli trials, with probability of success P=1.1 failures before we get the 2nd success. Find i) P(X = 0) ii) P(X >2) (3 Marks) (4 Marks)