(a) (b) (c) (d) (e) (f) 0 otherwise Find the cumulative distribution function F(x) P(X ≤ 2) P(X < 1) P(0 < X ≤3) P(X > 2) P(X < -1)

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Author:Amos Gilat
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QUESTION 6:
The discrete random variable X has the following probability distribution function.
x = 0,2
6
f(x) = 1
x = 1,3
3
0
otherwise
(a)
Find the cumulative distribution function F(x)
(b)
P(X ≤ 2)
(c)
P(X < 1)
(d)
P(0 < X ≤ 3)
(e)
P(X > 2)
(f)
P(X < −1)
Transcribed Image Text:QUESTION 6: The discrete random variable X has the following probability distribution function. x = 0,2 6 f(x) = 1 x = 1,3 3 0 otherwise (a) Find the cumulative distribution function F(x) (b) P(X ≤ 2) (c) P(X < 1) (d) P(0 < X ≤ 3) (e) P(X > 2) (f) P(X < −1)
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