... This is a technical one. Handle it well please

1. (25 points) In the following extensive-form game, how many proper subgames are there?" Solve the game using backward induction. Represent the game in the normal form and find its Nash equilibria. D E N X2. The distribution exam grades for Advanced Microeconomics class has a mean on u 71.5 and a standard deviation of a = 12. What is the probability of selecting a random sample of n = 36 students with an average grade greater than 74.47 [HINT: This question is about sampling distribution of the mean] (10 points)