Q1. (a)
Police plan to enforce speed limits during the morning rush hour on four different routes into the city. The traps on route A, B, C and D are operated 40%, 30%, 20% and 30% of the time respectively. Jack always speeds to work, and he has probability 0.2, 0.1, 0.5 and 0.2 of using those routes.
(i). What is the probability that he will get a ticket on any one morning?
(ii). What is the probability that Jack will go five mornings without a ticket?
Q1. (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
(ii). You draw without replacement
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