Assume your expected lifetime income is $1.5 million and the standard deviation is $250,000.

Question

a) What is the chance that you will earn more than $1.1 million during your lifetime?

b) What is the chance that you will earn less than $2 million during your lifetime?

c) What is the chance that you will earn between $1.2 and $2.2 million during your lifetime?

d) What is the chance you will make less than $500,000 during your lifetime?

e) With 90% chance your income will be less than how many $$$?

f) With 80% chance your income will be more than how many $$$?

g) With 70% chance your income will be within which symmetric range around $1.5 million?