Q11) Suppose the samples taken from an analogue signal x(t) are distributed according to the probability density functio
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Q11) Suppose the samples taken from an analogue signal x(t) are distributed according to the probability density functio
Q11) Suppose the samples taken from an analogue signal x(t) are distributed according to the probability density function {xx, if 0 sxs3 Recall: S x" dx = pixn+1 + C, for n a positive p(x) det ló, otherwise integer and C an arbitrary constant. (a) Calculate the mean E[x] and mean power E[x²]. [3 marks] (b) Use the results of (a) to calculate the variance Var[x]. [1 mark] (c) Calculate Pr{0 < x < 1.5}. [2 marks] x) +1
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