(a) Consider the repeated and independent tossing of a die with probability 7 of a head at each toss. Denote by T the number of tosses until the occurrence of the first head. For a constant, b, find an upper bound for the probability that T lies within by1- of its expected value. Comment. (b) The number of customers visiting a store during a day is a random variable with mean EX = 100 and variance Var (X ) = 225. (i) Find an upper bound for the probability of having more than 120 or less than 80 customers in a day. (ii) Derive an upper bound for having more than 120 customers in a day. Comment