Jenny is waiting at a bus stop for the bus that takes her to work. It is known that the waiting time (in minutes) for this particular bus, represented by a random variable X, has the following distribution function:

(i) Draw a graph of this distribution function. Are there any discontinuity points on the graph?

(ii) Calculate the probabilities P(X = i), for i = 2, 3, 6.
(iii) Find the conditional probabilities P(X > 3|X > 2), P(1 ≤ X 2).
Explain what these probabilities represent in words.

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0, t/6, -