1 A random variable, x, has a uniform p.d.f. with T = 10. Calculate the probability that (a) 1 2.9 (d) x < 7.2

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EXERCISES 29.12
A random variable t has a uniform p.d.f. with
T = 1.5. Calculate the probability that
(a) 0.7 <1< 1.3
(c) t| < 0.5
A random variable, x, has a uniform p.d.f. with
T = 10. Calculate the probability that
(a) 1 <x< 3
(b) 1.6 <x<9.3
(b) 1 <t < 2
(c) x > 2.9
(d) x < 7.2
(d) |t| > 1
(e) -1 < x < 2
(f) 9.1 < x < 12.3
Solutions
(а) 0.2
(e) 0.2
1
(b) 0.77
(c) 0.71
(d) 0.72
2 (a) 0.4
(b) 0.3333
(c) 0.3333
(f) 0.09
(d) 0.3333
Transcribed Image Text:EXERCISES 29.12 A random variable t has a uniform p.d.f. with T = 1.5. Calculate the probability that (a) 0.7 <1< 1.3 (c) t| < 0.5 A random variable, x, has a uniform p.d.f. with T = 10. Calculate the probability that (a) 1 <x< 3 (b) 1.6 <x<9.3 (b) 1 <t < 2 (c) x > 2.9 (d) x < 7.2 (d) |t| > 1 (e) -1 < x < 2 (f) 9.1 < x < 12.3 Solutions (а) 0.2 (e) 0.2 1 (b) 0.77 (c) 0.71 (d) 0.72 2 (a) 0.4 (b) 0.3333 (c) 0.3333 (f) 0.09 (d) 0.3333
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