lec3 (1) - (R| = cos sin = 2 1/2 cos/4 2 Identify Sample...

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(R| Ψ ) = cos Ψ + sin Ψ = 2 1/2 cos( Ψ - π /4) 2. Identify Sample Space 3. Probability Law over Sample Space: Invoke isotropy implying uniformity of angle 0 π /2 ψ
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0 π /2 ψ 2 / π f Ψ ( ψ )
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4. Find CDF F R (r) = P{R < r} = P{2 1/2 cos( Ψ - π /4) < r} F R (r) = P{R < r} = P{cos( Ψ - π /4) < r/ 2 1/2 }
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