MAS291_-_S5_-_SU_2023_-_FE_447.webp
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MAS291_-_S5_-_SU_2023_-_FE_447.webp

(Choose 1 answer)
(See picture)
A. (ii)
B. None of the other choices is correct
C. (i)
D. (iii)
E. (iv)
Let X be a continuous random variable that has the cumulative distribution function given by
F(x)
0.
x≤ 0
1-e-5xx > 0
Find the density function of X.
(i) f(x)=0,x\le0~and~f(x)=5e^{-5x},x>0.
(ii) f(x)=1,x\le0~and~f(x)=5e^{-5x},x>0
(iii) f(x)=0,x\le0~and~f(x)=1-5e^{-5x},x>0.
(iv) f(x)=1 x\le0 and f(x)=1+5e^{-5x},x>0
Exit 36

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