Using a bit error rate test on a digital communication circuit that you constructed, you measured no biterrors out of 10 million bits sent. Assume the number of errors follows a binomial distribution with thetrue bit error probability and assume a uniform prior ?2. Using a bit error rate test on a digital communication circuit that you oonstructed, you measured no biterrors out of II] million bits sent. Assume the number of errors follows a binomial distribution with the true bit error probability 3 and assume a uniform prior on 3′. {a} Calculate the Bayes estimator for 9. {b} Calculate a 90% equal—tail credible interval for B. (c) Calculate a 95% onesided lower credible interval, i.e. an interval of the form (0, U J{d} Calculate the probability that 6′, the bit error probability, is less than 1 per billion.