Question: SECTION A: Problems on transformation of a RV Question # 2 Given that, a RV x has the following CDF in the range (x K)
SECTION A: Problems on transformation of a RV Question # 2 Given that, a RV x has the following CDF in the range (x K) Fx(x) = 0 x2 Determine: (i) Find the value of K; (ii) The pdf of y under the transformation y (ax + ?) where ? and ? are constants, (iii) find the range of y and (iv) evaluate the first moment of y Answer hint: mi (y)-(2 o 2) [ {(at pr-p'))-{(a-B,-B)} ] ?+ Question # 3 Given that, the pdf, namely, fx(x) of a RV, x is uniformly distributed in the range (
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