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Q23.webp

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Question: 23
(Choose 1 answer)
(See picture)
A. (i)
B. (ii)
C. (iii)
D. (iv)
E. None of the other choices is correct
Let X be a continuous random variable that has the cumulative
distribution function given by
x ≤ 0
F(x) = {1-06-5x, x 0
Find the density function of X.
(i) f(x) = 0, x ≤ 0 and f(x) = 5e-5x,x > 0.
(ii) f(x)=1,x ≤ 0 and f(x) = 5e5x,x > 0.
(iii) f(x)=0,x ≤0 and f(x) = 1-5e-5x,x > 0.
(iv) f(x) = 1, x ≤0 and f(x) = 1+5e5x,x>0.

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