Let X be a random variable with the probability density function given by 1 f(x)=xe-kx, 0 0. (i) (ii)…

Let X be a random variable with the probability density function given by 1 f(x)=xe-kx, 0 0. (i) (ii)…

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Let X be a random variable with the probability density function given by 1 f(x)=xe-kx, 0 0. (i) (ii)…
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Let X be a random variable with the probability density function given by
1
f(x)=√x²e-kx,
0 0.
(i)
(ii)
(iii)
Tunjukkan bahawa k =dan seterusnya, camkan taburan bagi
X.
Show that k =and hence, identify the distribution of X.
Tentukan persentil ke-90 bagi X.
Determine the 90th percentile of X
Cari varians bagi X.
Find the variance of X.
0.90 = P(xx)
(7 markah/marks)
3/6

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