You set out on a walk with three possible locations, denoted locations 1, 2 and 3. The probabilities of travelling from a specified location to the next are given by A = 0.5 0.2 0.4 0.4 0.6 0.1 0.1 0.2 0.5 If you know that you started in location 3, what is the probability that you end up at location 1 after two time periods?

Solve question #4 and solve part a and part b. Please and thank you

To generate leads for new business, Gustin Investment Services offers free financial planning seminars at major hotels in Southwest Florida. Gustin conducts seminars for groups of 25 individuals. Each seminar costs Gustin $3,400, and the commission for each new account opened is $4,900. Gustin estimates that for each individual attending the seminar, there is a 0.01 probability that he/she will open a new account.   Determine the equation for computing Gustin's profit per seminar, given static values of the relevant parameters.   Profit =(New accounts opened x _______)-_________   Construct a simulation model to analyze the profitability of Gustin's seminars. Would you recommend that Gustin continue running the seminars? (Use at least 1,000 trials. Round your answer to two decimal places.)   What is the minimum number of attendees (in a multiple of five, i.e., 25, 30, 35, …) that Gustin needs before a seminar's average profit is greater than zero? =______ attendees

A city uses three pumps to carry water from a river to a reservoir. Pumps A and B are new, and have a probability of failing of 0.015 on any day. Pump C is older, and has a probability of failure of 0.08 on any day. Pumps A and B operate Monday-Friday. On Saturday, pumps A and C operate while pump B is serviced. On Sunday, pumps B and C operate while pump A is serviced. Answer the following questions, assuming that the pumps operate independently of one another, and independently from day to day. Determine the probability that pump A works on a day that it is in use. Find the probability that pumps A and B both fail on a day they are both in use. Compute the probability that at least one pump fails on any Sunday. Find the probability that pump A works, and C fails on any Saturday. Determine the probability that no pumps fail in a week.

Mason drives to school for his class on Monday, Wednesday and Friday. He prefers to park in Parking Lot A because it is next to his classroom building, but he is not always able to find a spot there. If it's sunny the probability that he finds a spot is 0.72 but if it's raining more people drive, so the probability that he finds a spot is only 0.44. Whether he finds a spot in Lot A is independent from one day to the next. (a) On a sunny day, what is the probability that Mason does not find a spot in Lot A?   (b) In a week that is sunny on Monday and Friday and raining on Wednesday, what is the probability that Mason does not find a spot in Lot A on any of the three days? (Round your answer to four decimal places.)   (c) In a week that is sunny on Monday and Friday and raining on Wednesday, what is the probability that Mason finds a spot in Lot A on at least one of the three days? (Round your answer to four decimal places.)

Find the probability that either event A or B occurs if the chance of A occurring is 0.5,the chances of B occurring is 0.3, and events A and B are independent.

Connor is an oncologist with 7 patients in their care. The probability that a patient will survive 5 years after being diagnosed with stage 2 pancreatic cancer is 0.34. What is the probability that 7 of the patients are still alive after 5 years?

A drunken pirate stands in the center of a ship's deck. Every second the pirate moves right or left only. Every second the pirate moves to the right with a probability of 0.1 The steps are independent of each other. The edge of the deck is 5 steps away from the pirate. What is the chance that the pirate will fall off the ship after exactly 5 seconds?

A study tracked a large group of people for 10 years. At the start of the study, 20% were heavy smokers (H), 30% were light smokers (L), and 50% were non-smokers (N). The interest of the study was whether the people in the study died during the study (D) or not die (Dc ). The probability that a light smoker died during the study was twice that of the probability of a non-smoker dying. Also, the probability that light smoker died during the study was half that of the probability of a heavy smoker dying. A randomly selected person from the study died during the study. What is the probability that this person was a heavy smoker (given they died, what is the probability they were a heavy smoker H)?

Solve question 3 all parts and show steps for the required parts. Please and thank you.