Question 1: A coin which lands heads with probability p is tossed repeatedly. Assuming independence of the tosses, find formulae for a. the probability that exactly 5 heads appear in the first 9 tosses; b. the probability that the first head appears on the 7th toss; c. the probability that the fifth head appears on the 12th toss; d. the probability that the same number of heads appear in the first 8 tosses as in the next 5 tosses; e. the probability that the 10th toss is either the 4th or 5th head