Alice is trying to transmit to bob the answer to a yes-no question, us-ing a noisy channel. she encodes "yes" as 1 and "no" as 0, and sends the appropriatevalue. however, the channel adds noise; specifically, bob receives what alice sends plusan(0,σ2) noise term (the noise is independent of what alice sends). if bob receives avalue greater than 1/2 he interprets it as "yes"; otherwise, he interprets it as "no".(a) find the probability that bob understands alice correctly. 2 (b) what happens to the result from (a) if σ is very small? what about if σ is very large? explain intuitively why the results in these extreme cases make sense.(b) what happens to the result from (a) if σ is very small? what about if σ is very large? explain intuitively why the results in these extreme cases make sense.

Apoll is being conducted at a mall nothingto obtain a sample of the population of an entire country. what is the frame for this type of​ sampling? who would be excluded from the survey and how might this affect the results of the​ survey? what is the frame for this type of​ sampling? a. the frame is people who need new clothes. b. the frame is people who shop at the mall. c. the frame is people who like to shop. d. the frame is the entire population of the country. who would be excluded from the survey and how might this affect the results of the​ survey? a. any person that does not need new clothes is excluded. this could result in sampling bias due to undercoverage. b. any person who does not shop at the mall is excluded. this could result in sampling bias due to undercoverage. c. any person who does not shop at the mall is excluded. this could result in nonresponse bias due to people not participating in the poll. d. there is nobody that is being excluded from the survey.