Problem 2.1: The probability distribution for the discrete random variable X is described in the table below. Find: (a) c, (b) F(r). Plot f(r) and F(r). (c) P(X = 2.2) (d) P(X = 3.14) (e) P(2 < X < 4.2) (f) P(X > 3) (g) P(X > 5) (h) F(X > 5) 1.2 1.7 2.2 2.7 3.2 3.7 4.2 f(r) 0.05 0.2 0.06 0.15 0.09 0.15

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Problem 2.1: The probability distribution for the discrete random variable
X is described in the table below. Find:
(a) c,
(b) F(x). Plot f(x) and F(x).
(c) P(X = 2.2)
(d) P(X = 3.14)
(e) P(2 < X < 4.2)
(f) P(X > 3)
(g) P(X > 5)
(h) F(X > 5)
1.2 1.7 2.2 2.7 3.2
3.7
4.2
f (x) 0.05 0.2 0.06
0.15 0.09 0.15
Transcribed Image Text:Problem 2.1: The probability distribution for the discrete random variable X is described in the table below. Find: (a) c, (b) F(x). Plot f(x) and F(x). (c) P(X = 2.2) (d) P(X = 3.14) (e) P(2 < X < 4.2) (f) P(X > 3) (g) P(X > 5) (h) F(X > 5) 1.2 1.7 2.2 2.7 3.2 3.7 4.2 f (x) 0.05 0.2 0.06 0.15 0.09 0.15
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