Answer questions as detailed as possible.

Q1. (a) answer questions as detailed as possible. Police plan to enforce speed limits during the morning rush hour on four different routes into the 30%, 20% and 30% of the time these routes. (i). What is the probability that he will get a ticket on any one morning? Soln. (ii). What is the probability that Jack will go ve mornings without a ticket? $0111. (21- (b) In an Urn are 5 blue, 3 red and 2 yellow marbles. If you draw 3 marbles, what is the probability that less than 2 will be red if (i). You draw with replacement Soln. (ii). You draw without replacement Soln. 9.;(6) Determine KDEKHELQLELQE the table is a valid probability distribution of a discrete random variable. Explain fully