Question: 6.3.10 An oscillator sends the wave X ( t ) = A cos(27rt), where A = 1 or 2 with equal probabilities. We observe the

6.3.10 An oscillator sends the wave X ( t ) = A cos(27rt), where A = 1 or 2 with equal probabilities. We observe the value of X( t ) at the point chosen at random from theU[n,n+l] distributionforsome n. Find: (i) P ( X ( t )5 1). (ii) P( JX( t ) I> 3 / 2 ) .

(iii) P ( X ( t ) > 0).

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