2. (a) An electronic device has lifetime denoted by T. The device has value V=5 if it fails before time t=3; otherwise, it has value V=2T. Find the c.d.f. of V, if T has p. d. f. 1 fr(t) e¯1.5,t > 0. 1.5 = -
2. (a) An electronic device has lifetime denoted by T. The device has value V=5 if it fails before time t=3; otherwise, it has value V=2T. Find the c.d.f. of V, if T has p. d. f. 1 fr(t) e¯1.5,t > 0. 1.5 = -
A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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![2. (a) An electronic device has lifetime denoted by T. The device has value
V=5 if it fails before time t=3; otherwise, it has value V=2T. Find the c. d. f.
of V, if T has p.d. f.
fr(t) = 15°
e1.5, t > 0.
1.5
(b) Suppose that the random variables X and Y have the joint p. d. f.
– y), 0 < x < 2, –x < y < x
f (x, y) = {kx(x –
elsewhere
(i)
Evaluate the constant k.
(ii)
Find the marginal p. d. f. of the two random variables.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6c5599dd-a45d-4159-8b07-d7c34d520941%2Fe1309955-6afa-48bd-856b-af75fff8aaad%2Ff7spvpw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. (a) An electronic device has lifetime denoted by T. The device has value
V=5 if it fails before time t=3; otherwise, it has value V=2T. Find the c. d. f.
of V, if T has p.d. f.
fr(t) = 15°
e1.5, t > 0.
1.5
(b) Suppose that the random variables X and Y have the joint p. d. f.
– y), 0 < x < 2, –x < y < x
f (x, y) = {kx(x –
elsewhere
(i)
Evaluate the constant k.
(ii)
Find the marginal p. d. f. of the two random variables.
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