The profit (or loss) from an investment is normally distributed with a mean of $11,200 and a standard deviation of $8,250.

a. What is the probability that there will be a loss rather than a profit?

b. What is the probability that the profit will be between $10,000 and $20,000?

c. Find x such that the probability that the profit will exceed x is 25%.

d. If the loss exceeds $10,000 the company will have to borrow additional cash. What is the probability that the company will have to borrow additional cash? e. Calculate the value at risk