Let X be a continuous random variable with pat fx ( x ) = 20 if * E Cos' ] O else Let Us be a andform randown variable on the interval [o , ! ] Define the observation be a random vostable of the form Y z 5 x with probability //2 6 6 1/2 and conditional polf's of |2 10 = + 3 and z / Y = 0 2 ) find the map decision, given observation of random variable z, if I is equal to X or C