1. The price of a stock is uniformly distributed between $30 and $40.
a. What is the probability that the stock price will be more than $37?
b. What is the probability that the stock price will be less than or equal to $32?
c. What is the probability that the stock price will be between $34 and $38?
d. Determine the expected price of the stock.
e. Determine the standard deviation for the stock price.
2. Approximate the following binomial probability by the use of normal approximation. Twenty percent of students who finish high school do not go to college. What is the probability that in a sample of 80 high school students exactly 10 will not go to college?