Find moment generating function for the random variableY1(b) (2 points) Find the moment generating function for W=Y1+Y2+…+Yn(c) (3 points)T1= 1− ̄Yis an unbiased estimator of p? Find the MSE ofT1(d) (3 points) Construct an approximated two-sided (1−α) confidence interval for p.

Midterm 1, STAT 3445 — Introduction to Mathematical Statistics II,Spring 2021The exam is designed to be finished in 3 hours. There are 50 points in total. The exam should be done individually and similar solutions will be penalized with a final grade of ”zero”. The problems are not necessarily in the order of difficulty level. … Read more