On an online auction website, you bid for two items posted for sale. The probability you win the first bid is 0.7 and the probability you win the second bid is 0.4. Assume that two events{winning the first bid}and{winning the second bid}are independent.

LetXbe the total number of items you win.

a) Construct the probability mass function ofX. (You can make a table, or just write outf(x) =..forx=..)

b) Verify thatf(x) from a) is a valid pmf.

c) Construct a cumulative distribution ofXfrom Problem 1 a) above. Remember to specify thexrange.