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

Transcribed Image Text:

Let X be a random variable with the probability density function given by 1 f(x)=√x²e-kx, 0<x<0, 16 where k > 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 Let X be a random variable with the probability density function given by 1 f(x)=√x²e-kx, 0<x<0, 16 where k > 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