2. Suppose you perform ten independent Bernoulli trials and observe six successes. Let e denote the probability of succe

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2 Suppose You Perform Ten Independent Bernoulli Trials And Observe Six Successes Let E Denote The Probability Of Succe 1 (129.42 KiB) Viewed 30 times

2. Suppose you perform ten independent Bernoulli trials and observe six successes. Let e denote the probability of success on each trial. (a) Using the Be(1, 1) prior, and after observing the data, 6 successes in 10 trials, what probability would you attach to the event that the eleventh trial will result in a success? [4 MARKS] = (b) You may believe that Beta priors are not flexible enough and prefer to specify a prior on 0 by means of a normal prior on the logits: ө ø= logit(0) = In Ở NN(1, 0) 1 0 You want the induced prior on 0 to satisfy the following conditions: Pr [0 > 0.5] = 1/2 and Pr[@ < 0.75] = 0.975 Determine the values of u and o2 required. [6 MARKS] - -