The probability distribution for the annual benefit of a project is listed below. Calculate the expected value if EV = otcome A x probability A + oputcome B x probability B +..... Annual benefit $3000 $9000 15,000 Probability 0.5 0.3 0.2 a. 720 b. 9000 c. 7200 d. 3600
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The
EV = otcome A x probability A + oputcome B x probability B +.....
Annual benefit $3000 $9000 15,000
Probability 0.5 0.3 0.2
a. 720
b. 9000
c. 7200
d. 3600
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- Amount of claim (to nearest $20,000) Probability $0 0.70 $20,000 0.17 $40,000 0.06 $60,000 0.04 $80,000 0.02 $100,000 0.01 A. Calculate the expected value? B. How much should the company charge as an average premium so that it breaks even on its claim costs? C. How much should the company charge to make a profit of $50 per policy?The table below shows the probability distribution for forest fires each year, measured in square kilometers Square Km of Probability Forest Fires 200 0.03 400 0.19 600 0.36 800 0.27 1000 0.11 1200 0.04 Each square km of forest fire will cost the govemment $1440 to extinguish Calculate the expected cost per year to fight forest fires. AnswerSuppose 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…An insurance company estimates the probability of an earthquake in the next year to be 0.0013. The average damage done by an earthquake is estimated to be $60,000. If the company offers earthquake insurance for $100, what is their expected value of the policy?An insurance policy on an electrical device pays a benefit of $2400 if the device fails during the first year. The amount of the benefit decreases by $800 each successive year until it reaches 0 . If the device has not failed by the beginning of any given year, the probability of failure during that year is 0.29.Find the expected benefit under this policy.
- Calculate the six values of joint probability (5th column) and present worth PW (last column) and fill in the below table assuming a first cost of $20,000 and 12% interest rate. Annual benefits Probability Life (years) Probability Joint probability $5,000 $8,000 $10,000 $5,000 $8,000 $10,000 PW 30% 6. 66.7% 60% 66.7% 10% 66.7% 30% 33.3% 60% 33.3% 10% 33.3% O6999The normal distribution curve can be used as a probability distribution curve for normally distributed variables. Group of answer choices False TrueThe probability distribution given below represents the projected profit (in thousands of dollars) earned from a business over a year. Profit (x) in thousands of dollars f(x) -100 0.05 -50 0.15 0 0.30 50 0.35 100 0.12 200 0.03 a.) What is the probability that the business will operate at a loss for the year? b.) What is the probability that the business will break even? c.) What is the expected value for profit? Fill out the table below to help you calculate the value.
- 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…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.…
