1. The problem statement, all variables and given/known data Let θ>0 and X1, X2,...,Xn be a random sample from the distribution with the pdf fx(x)=fx(x;θ)=(θ/(2√x))e-θ√x, x>0 Recall: Ʃ√xi, i=1, n has Gamma (α = n, "usual θ" = 1/θ) distribution. a) Suggest a confidence interval θ with (1-α)100% confidence level. b) Suppose n = 5, x1=5, x2=11, x3=2, x4=7, x5=3. Use part (a) to construct at 95% confidence interval for θ. 2. Relevant equations 3. The attempt at a solution attempting to mimic what my professor did on a similar problem.. a) b) So 1) Is my work correct? 2) I don't understand why Ʃ√xi is relevant here 3) I don't understand the relationship between gamma and chi2 distributions Appreciate it.