4. (15 pts) Based on theoretical modeling, you are told that the electronic nois

Question

4. (15 pts) Based on theoretical modeling, you are told that the electronic noise power at the output of a type of detector is Normal (Gaussian) distributed. The exact Normal distribution, however, is not known! You need to estimate the pdf for your specific batch of detectors. To do this, you have measured the voltages output by your detector with no signal present (i.e., so that you know you have only noise) at 6 different times. The voltages measured are: 1, -2, 3, 2,-1, 4. ????? a) (5 pts) Estimate the mean of the noise. Show your work. b) (5 pts) Estimate the variance of the noise. Show your work. You must put in all of the numbers but you do not need to compute the final sum

Explanation / Answer

mean=(1+(-2)+3+2+(-1)+4+(-1)+2)/8 mean=1

variance=(0+9+4+1+4+9+4+1)/7 =>32/7 =>4.57

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