a. Assuming a low-informative prior probability distribution, find the posterior distribution of left-handed students in the population....

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a. Assuming a low-informative prior probability distribution,find the posterior distribution of left-handed students in thepopulation. Summarize your results with an estimation of the mean,median, mode, and a 95% credible interval. Plot your posteriorprobability distribution.
b. According to the literature, 5 to 20% of people areleft-handed. Take this information into account in your priorprobability and calculate a new posterior probability distribution.Summarize your results with an estimation of the mean, median,mode, and a 95% credible interval. Plot your posterior probabilitydistribution.
b. According to the literature, 5 to 20% of people areleft-handed. Take this information into account in your priorprobability and calculate a new posterior probability distribution.Summarize your results with an estimation of the mean, median,mode, and a 95% credible interval. Plot your posterior probabilitydistribution.

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PART AThis is the case of Binomial Likelihood and if the priorand posterior are in the same family then they are called conjugatedistributionsNow given Binomial Prior the conjugate would be betadistribution The posterior beta distribution isBetayalphaNybetawhere y is the no of    See Answer
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