An investor is interested in purchasing an apartment building containing six apartments. The current owner provides the following probability distribution indicating the probability that the given number of apartments will be rented during a given month. Number of Rented Apartments 0 1 2 3 4 5 6 Probability 1/5/10 1/4 7/40 40 3/20/20 Find the number of apartments the investor could expect to be rented during a given month. (Hint: Find the expected value.) 2.4450 2.4350 2.5050 2.4250 2.4750 O None of the above.
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- Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $15. If you roll a 3, 4 or 5, you win $1. Otherwise, you pay $10. a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4 decimal places where appropriate. Probability Distribution Table X P(X) b. Find the expected profit. $ (Round to the nearest cent) c. Interpret the expected value. This is the most likely amount of money you will win. O If you play many games you will likely lose on average very close to $0.33 per game. O You will win this much if you play a game. d. Based on the expected value, should you play this game? O No, this is a gambling game and it is always a bad idea to gamble. O Yes, since the expected value is positive, you would be very likely to come home with more money if you played many games. O Yes, because you can win $15.00 which is greater than the $10.00 that you can lose. O Yes, since the expected value is 0,…Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $9. If you roll a 3, 4 or 5, you win $2. Otherwise, you pay $3.a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4 decimal places where appropriate. Probability Distribution Table X P(X) b. Find the expected profit. $ (Round to the nearest cent)c. Interpret the expected value. You will win this much if you play a game. If you play many games, on average, you will likely win, or lose if negative, close to this amount. This is the most likely amount of money you will win. d. Based on the expected value, should you play this game? No, this is a gambling game and it is always a bad idea to gamble. Yes, because you can win $9.00 which is greater than the $3.00 that you can lose. No, since the expected value is negative, you would be very likely to come home with less money if you played many games. Yes,…Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $7. If you roll a 2, 3, 4 or 5, you win $3. Otherwise, you pay $10.a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4 decimal places where appropriate. Probability Distribution Table X P(X) b. Find the expected profit. $ (Round to the nearest cent)c. Interpret the expected value. This is the most likely amount of money you will win. If you play many games you will likely win on average very close to $1.50 per game. You will win this much if you play a game. d. Based on the expected value, should you play this game? No, this is a gambling game and it is always a bad idea to gamble. Yes, because you can win $7.00 which is greater than the $10.00 that you can lose. Yes, since the expected value is 0, you would be very likely to come very close to breaking even if you played many games, so you might as…
- The accompanying table lists the outcomes and the probability distribution for a student renting videos during the week while on campus. Video Rentals per Week during Semester Outcome (number of O weekly video rentals) Probability distribution Outcome 0 (number of weekly video rentals) Probability distribution 1 0 69.81 2 Write the cumulative probability distribution in the table below. Use two decimal places. 3 1.81 4 0.05 0.55 0.25 0.05 0.07 0.02 0.01 Hint: Write your answers in two decimal places. 5 8 The probability of renting between two and four videos a week is 126.95 60 57.14 5 25 600 and the probability of renting less than three a week isBelow is a partially complete probability model. Enter the probability for the final outcome. Outcome 3 3 3.5 6 Probability 0.35 0.2 0.15 Find the expected value of the probability model. SpeakA group of realtors estimates that 23% of all homes purchased last year were considered investment properties. If a sample of 800 homes sold last year is obtained, what is the probability that between 175 and 200 homes are going to be used as investment property? Round to four decimal places. O A. 0.6863 B. 0.9099 OC. 0.2236 O D. 0.1335
- Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $13. If you roll a 2, 3, 4 or 5, you win $1. Otherwise, you pay $7. a. Complete the PDF Table. LIst the X values, where X is the profit, from smallest to largest. Round to 4 decimal places where appropriate. Probability Distribution Table X P(X) b. Find the expected profit. $__________(Round to the nearest cent). c. Interperet the expected value. O You will win this much if you play a game. O If you play many games you wil likely win on average very close to $1.67 per game. O This is the most likely amount of money yuo will win. d. Based on the expected value, should you play this game? O Yes, since the expected value is positive , you would be very likely to come home with more money if you played many games. O Yes, since the expected value is 0, you would be very likely to come very close to breaking even if you played many games, so…A used-car dealer gets complaints about his cars as shown in the table. Number of complaints per day 0 1 2 Probability 3 4 5 6 0.02 0.06 0.17 0.25 0.3 0.11 0.09 Find the expected number of complaints per day. The expected number of complaints per day is (Do not round your answer.)Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $17. If you roll a 2, 3, 4 or 5, you win $4. Otherwise, you pay $6. a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4 decimal places where appropriate. Probability Distribution Table P(X) b. Find the expected profit. $ (Round to the nearest cent) c. Interpret the expected value. O This is the most likely amount of money you will win. Oif you play many games you will likely win on average very close to $4.50 per game. O You will win this much if you play a game. d. Based on the expected value, should you play this game? O No, since the expected value is negative, you would be very likely to come home with less money if you played many games. O Yes, since the expected value is positive, you would be very likely to come home with more money if you played many games. O No, this is a gambling game and it is always a bad idea to gamble.…