The random variables x and ? are independent and ? is uniform in the interval...

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Algebra

The random variables x and ? are independent and ? is uniform in the interval (-?, ?).Show that if z = x cos(w t + ?), then -|z| ?fz(z) = (1/?) ? {fx(y) / ?(y - z)}dy + (1/?) ? {fx(y) / ?(y - z)}dy -? |z|

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The random variables x and ? are independent and ? is uniform in the interval (-?, ?).Show that if z = x cos(w t + ?), then -|z| ?fz(z) = (1/?) ? {fx(y) / ?(y - z)}dy + (1/?) ? {fx(y) / ?(y - z)}dy -? |z|

The random variables x and ? are independent and ? is uniform in the interval...

50.1K

Verified Solution

Question

Algebra

The random variables x and ? are independent and ? is uniform in the interval (-?, ?).Show that if z = x cos(w t + ?), then -|z| ?fz(z) = (1/?) ? {fx(y) / ?(y - z)}dy + (1/?) ? {fx(y) / ?(y - z)}dy -? |z|

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