Sketch the distribution function

Reference no: EM131834439

Suppose that the time in minutes that a man has to wait at a certain subway station for a train is found to be a random phenomenon, with a probability function specified by the distribution function F(), given by

2277_random phenomenon.png

(i) Sketch the distribution function.

(ii) Is the distribution function continuous? If so, give a formula for its probability density function.

(iii) What is the probability that the time the man will have to wait for a train will be (a) more than 3 minutes, (b) less than 3 minutes, (c) between 1 and 3 minutes?

(iv) What is the conditional probability that the time the man will have to wait for a train will be (a) more than 3 minutes, given that it is more than 1 minute, (b) less than 3 minutes, given that it is more than 1 minute?

Reference no: EM131834439

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