Suppose the annual return on XYZ stock follows a normal distribution with mean 12% and standard deviation 30%.

a. What is the probability that XYZ's value will decrease during a year?

b. What is the probability that the return on XYZ during a year will be at least 20%?

c. What is the probability that the return on XYZ during a year will be between -6% and 9%?

d. There is a 5% chance that the return on XYZ during a year will be greater than what value?

e. There is a 1% chance that the return on XYZ during a year will be less than what value?

f. There is a 95% chance that the return on XYZ during a year will be between which two values (equidistant from the mean)?