(a) The pdf of a RV x is specified as follows: fx(x) = 0 = 1/(b-a)...

 

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(a) The pdf of a RV x is specified as follows: fx(x) = 0 = 1/(b-a) = 0 x≤a a≤x≤ b x za = Determine: (1) Sketch the pdf and cdf graphs over the range of the RV; (2) expected value and standard deviation of x. (Useful Hint: Pdf of x: fx(x) dFx(x)/dx ; Answer hint: 0= (b-a)/6¹/2) (b) Suppose x is a RV with pdf: fx(x) = (bx+ c) for the range (0 ≤x≤+1) and zero otherwise; further, b and c are constants. (1) Find cumulative distribution function of x (11) Determine the constants (b and c), if the expected mean value of x, E[x] = 7/12 (iii) Determine the variance of x. (a) The pdf of a RV x is specified as follows: fx(x) = 0 = 1/(b-a) = 0 x≤a a≤x≤ b x za = Determine: (1) Sketch the pdf and cdf graphs over the range of the RV; (2) expected value and standard deviation of x. (Useful Hint: Pdf of x: fx(x) dFx(x)/dx ; Answer hint: 0= (b-a)/6¹/2) (b) Suppose x is a RV with pdf: fx(x) = (bx+ c) for the range (0 ≤x≤+1) and zero otherwise; further, b and c are constants. (1) Find cumulative distribution function of x (11) Determine the constants (b and c), if the expected mean value of x, E[x] = 7/12 (iii) Determine the variance of x.

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O CDF fexs Fx P... View the full answer