Obtaining uniform random numbers as instructed at the beginning of the Problems section, generate three random observations from each of the following probability distributions.

(a) The random variable X has P{X 0}

1 2

. Given X  0, it has a uniform distribution between 5 and 15.

(b) The distribution whose probability density function is f(x) 

(c) The geometric distribution with parameter p 1

3

, so that P{X k}