School 學校 (CityU)CS5487 - Machine Learning: Principles and Practice33.8bQuestionQuestion(b) Assume a uniform prior over π\piπ. Use the identity ∫01πm(1−π)ndπ=m!n!(m+n+1)!,\int_0^1 \pi^m (1 - \pi)^n d\pi = \frac{m!n!}{(m+n+1)!},∫01πm(1−π)ndπ=(m+n+1)!m!n!, to show that p(π∣D)=(n+1)!s!(n−s)!πs(1−π)n−s.p(\pi|\mathcal{D}) = \frac{(n+1)!}{s!(n-s)!} \pi^s (1 - \pi)^{n-s}.p(π∣D)=s!(n−s)!(n+1)!πs(1−π)n−s. Plot this density for n=1n=1n=1 for each value of sss.