John is interested in purchasing multi-office building containing five offices. The current owner gives the following probability distribution indicating the probability that given number of offices will be leased each and every year.
| Number of Lease Offices |
0 |
1 |
2 |
3 |
4 |
5 |
| Probability |
10/33 |
1/33 |
7/33 |
1/11 |
4/33 |
8/33 |
If each yearly lease is $12,000, how much could John expect to gather in yearly leases for whole building in given year?(in dollars)
a) E(X) = $29,130.91
b) E(X) = $29,090.91
c) E(X) = $29,170.91
d) E(X) = $29,070.91
e) E(X) = $29,100.91