Suppose that the stock market closed at 13,246 points today. Tomorrow you expect the market to rise mean of 4 points, with standard deviation of 115 points. Suppose a normal distribution.
a. Determine the probability that the stock market goes down tomorrow.
b. Determine the probability that the market goes up more than 50 points tomorrow.
c. Determine the porbability that the market goes up more than 100 points tomorrow.
d. Determine the probability that the market goes down more than 150 points tomorrow.
e. Determine the probability that the market changes by more than 200 points in either direction.