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