Question: A random variable X has distribution function F(t) = 0, t < 0, t6, 0 t < 3, 35, 3 t <

A random variable X has distribution function F(t) =

⎧⎪⎨⎪⎩

0, t < 0, t∕6, 0 ≤ t < 3, 3∕5, 3 ≤ t < 5, 1, t ≥ 5.

Then

(a) F has no jumps (it is a continuous distribution)

(b) F has one jump at the point t = 5

(c) F has two jumps at the points t = 0 and t = 3

(d) P(X = 3) = 1∕10

(e) P(X ≥ 5) = 1

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