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venkyelectrical
Asked: 2022-08-05T14:27:07+00:00 In:

5.5.2. Consider the following two-hypothesis problem. Given H1 is the true state of nature, Z1 through Z4 are independent Gaussian (3, 4) random variables. Given H0 is the true state of nature, Z1 through Z4 are independent Gaussian (−1, 4) random variables. Assume equal priors. (a) Determine the decision rulle in this form: Choose H1 if Z1 + Z2 + Z3 + Z4 …. (b) Determine the probability of error.

5.5.2. Consider the following two-hypothesis problem. Given H1 is the true state of nature, Z1
through Z4 are independent Gaussian (3, 4) random variables. Given H0 is the true state
of nature, Z1 through Z4 are independent Gaussian (−1, 4) random variables. Assume
equal priors.
(a) Determine the decision rulle in this form: Choose H1 if Z1 + Z2 + Z3 + Z4 ….
(b) Determine the probability of error.

5.5.2. Consider the following two-hypothesis problem. Given H1 is the true state of nature, Z1 through Z4 are independent Gaussian (3, 4) random variables. Given H0 is the true state of nature, Z1 through Z4 are independent Gaussian (−1, 4) random variables. Assume equal priors. (a) Determine the decision rulle in this form: Choose H1 if Z1 + Z2 + Z3 + Z4 …. (b) Determine the probability of error.

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