b2 The number of students enrolled in calculus classes at FIT is a Poisson r.v. with parameter 1 = 144. Use the CLT appr

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B2 The Number Of Students Enrolled In Calculus Classes At Fit Is A Poisson R V With Parameter 1 144 Use The Clt Appr 1 (37.19 KiB) Viewed 22 times

b2 The number of students enrolled in calculus classes at FIT is a Poisson r.v. with parameter 1 = 144. Use the CLT approximation to find the probability that the new enrollment is going to be 168 or more students. Also show what the exact solution would have been without the CLT approximation. Explain your steps. Hint. Use Table 1 (Gaussian PDF). (35 pts) b3 When a signal having value is transmitted from node A, the value received at node B is normally distributed with unknown mean y and unknown variance o?. In other words, when the signal is sent, then its value received is +W, where W represents a Gaussian noise with parameters (0,0%). To reduce the error, 10 signals of the same value i are sent. Upon their receipt at node B, their values were recorded as 7, 12, 13, 15, 7, 14, 6, 9, 16, 11 Construct a 95% confidence interval for . Explain your steps. Hint. Find the sample variance. (40 pts)