A record producer knows that the profit on the release of a new compact disc (CD) by his premier artists has a normal distribution with a mean of $1,250,000 and a standard deviation of $500,000. One of his premier artist is about to release a new CD.

i).What is the probability that the release of the CD makes a loss (profit less than zero)?

ii).What is the level of profit from the CD release that there is a 10% chance of exceeding?

iii)The producer has 4 premier artists all releasing CDs shortly. The profits on the CDs are independent, and each will have a normal distribution with a mean of $1,250,000 and a standard deviation of $500,000. What is the probability that the average profit from the 4 CDs exceeds $1,500,000?