A real estate agent has had offers to work at two different rental agencies specializing in leasing luxury homes. Doing some research, at agency A, he estimated 35% of potential lessees signing a lease while at agency B he estimated 30% signing a lease. Using those percentages, calculate the following probabilities if the probability of of a potential lessee signing a lease is the same for all potential lessees (.35 for agency A and .30 for agency B) and the expected daily number of potential lessees is 4 at agency A and 5 at agency B

Based on her assumptions, for agency A determine the following (up to 6 decimal places if necessary and show your work): a) the probability of leasing exactly 3 luxury homes in a day.

b) The probability of leasing no luxury homes in a day.

c) the expected number of luxury homes she will lease in a day. d) the standard deviation in the number of luxury homes she will lease in a day.

e) her expected daily net income if she spends $200 per day entertaining each potential lessee and she earns a commission of $3500 for each potential lessee she gets to sign a lease.

Based on her assumptions, for agency B determine the following (up to 6 decimal places if necessary and show your work): a) the probability of leasing exactly 3 luxury homes in a day.

b) The probability of leasing no luxury homes in a day.

c) the expected number of luxury homes she will lease in a day. d) the standard deviation in the number of cars she will lease in a day.

e) her expected daily net income if she spends $225 per day entertaining each potential lessee and she earns a commission of $4200 for each potential lessee she gets to sign a lease.

Which agency should she prefer to work at and shy?