3. Suppose that X - N(3.2, 6.5), Y ~ N(-2.1, 3.5), and Z ~ N (12.0, 7.5) are independent random variables. Find the probability that (a) X+Y >0 (b) X+Y-2Z<-20 (c) 3X+5Y >1

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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3. Suppose that X ~ N(3.2, 6.5), Y ~ N(-2.1, 3.5), and Z - N (12.0, 7.5) are independent random variables.
Find the probability that
(а) X+Ү>0
(b) X+Ү-2Z < -20
(c) 3X +5Y > 1
(d) 4X – 4Y + 2Z< 25
(e) X+6Y+Z[ >2
(f) |2X-Y-6| < 1
Transcribed Image Text:3. Suppose that X ~ N(3.2, 6.5), Y ~ N(-2.1, 3.5), and Z - N (12.0, 7.5) are independent random variables. Find the probability that (а) X+Ү>0 (b) X+Ү-2Z < -20 (c) 3X +5Y > 1 (d) 4X – 4Y + 2Z< 25 (e) X+6Y+Z[ >2 (f) |2X-Y-6| < 1
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