Once a day (weather permitting) a ferry transports cars from Island A to Island B. The ferry can carry up to 4 cars at a time. The number of cars, Y, that come to the port to be transported to Island B has the following mass function. (0.2 y = 0
Py(y) = 0.4 y = 1
10.4 y = 2
If a car arrives and finds 4 other cars already waiting, then it will leave and return some other day. The return of cars from Island B back to Island A is not of interest.
The weather in this area can be so bad that the ferry cannot make its trip. Assume this happens 50% of the time. When this happens, any cars that are waiting for the ferry trip will continue to wait. Also, any day there are no cars waiting to go to Island B, the ferry does not leave.
a. Assume you want to be able to answer the questions below. Build a Markov model of this process. Specifically do the following: define the states of the system, define the time period between observations of the state, a list of the events that can occur that affect the next state of the system and the P matrix.
b. What is the expected number of cars on the ferry when it makes a trip to Island B?
c. What is the probability the ferry does not make the trip on a given day?
d. If each car is charged $25 for the trip and it costs $75 in fuel for the ferry, what is the expected revenue/day for the ferry?

The county collector of suncoast county is responsible for collecting all property taxes levied by funds and governments within the boundaries of the county. to reimburse the county for estimated administrative expenses of operating the tax agency fund, the agency fund deducts 1.5 percent from the collections for the town, the school district, and the other towns. the total amount deducted is added to the collections for the county and remitted to the suncoast county general fund.the following events occurred in 2017: 1. current-year tax levies to be collected by the agency were: county general fund $ 10,333,000 town of bayshore general fund 4,840,000 suncoast county consolidated school district 6,550,000 other towns 3,120,000 total $ 24,843,000 2. $13,700,000 of current taxes was collected during the first half of 2017.3. liabilities to all funds and governments as a result of the first half-year collections were recorded. (a schedule of amounts collected for each participant, showing the amount withheld for the county general fund and net amounts due the participants, is recommended for determining amounts to be recorded for this transaction.)4. all cash in the tax agency fund was distributed.requireda. prepare journal entries for each of the foregoing transactions that affected the tax agency fund. (if no entry is required for a transaction/event, select "no journal entry required" in the first account field. do not round intermediate calculations. round your answers to the nearest whole dollar amount.)1. record the current-year tax levies to be collected by the agency.2.record the current taxes collected during the first half of 2017.3.record the liabilities due to all funds and governments at the end of first half-year.4. record the distribution of all cash in the tax agency fundb. prepare journal entries for each of the foregoing entries that affected the town of bayshore general fund. begin with the tax levy entry, assuming 2 percent of the gross levy will be uncollectible. (if no entry is required for a transaction/event, select "no journal entry required" in the first account field. do not round intermediate calculations. round your answers to the nearest whole dollar amount.)1.record the revenues receivable and uncollectible.2. record the taxes collected

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