Please help to solve this probability problem. The numbers on the line (excluding the question numbers like 1. 2. and 3. ) are the final correct answers (for this question, the correct answers are 2.14, 0.88 and 7.39). Please give detailed steps to explain how to get the final correct answer. Thanks! 2. Fill in the blanks A sender sends a signal whose value S is normally distributed with mean r and variance e?. It is known that if the actual signal value sent is S=s, the receiver receives a value R which is normally distributed with mean s and variance 1. If the receiver receives a signal value of R=2, what is the best estimate of the signal value S that was sent? Ans: 1. 2.14 (2 decimal places) What is the mean square error of this prediction? (2 decimal places) Ans: 2. 0.88 Cov(S, R) = 3. 7,39 (2 decimal places)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Please help to solve this probability
problem. The numbers on the line
(excluding the question numbers like 1. 2.
and 3. ) are the final correct answers (for
this question, the correct answers are 2.14,
0.88 and 7.39). Please give detailed steps to
explain how to get the final correct answer.
Thanks!
2. Fill in the blanks
A sender sends a signal whose value S is normally distributed with mean a and variance e?.
It is known that if the actual signal value sent is S=s, the receiver receives a value R which is normally distributed with mean s and variance 1.
If the receiver receives a signal value of R=2, what is the best estimate of the signal value S that was sent?
1. 2.14
Ans:
(2 decimal places)
What is the mean square error of this prediction?
(2 decimal places)
Ans:
2. 0.88
Cov(S, R) = 3. 7.39
(2 decimal places)
Transcribed Image Text:Please help to solve this probability problem. The numbers on the line (excluding the question numbers like 1. 2. and 3. ) are the final correct answers (for this question, the correct answers are 2.14, 0.88 and 7.39). Please give detailed steps to explain how to get the final correct answer. Thanks! 2. Fill in the blanks A sender sends a signal whose value S is normally distributed with mean a and variance e?. It is known that if the actual signal value sent is S=s, the receiver receives a value R which is normally distributed with mean s and variance 1. If the receiver receives a signal value of R=2, what is the best estimate of the signal value S that was sent? 1. 2.14 Ans: (2 decimal places) What is the mean square error of this prediction? (2 decimal places) Ans: 2. 0.88 Cov(S, R) = 3. 7.39 (2 decimal places)
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