A manufacturer is considering the manufacture of a new and better mousetrap. She estimates the probability that the new mousetrap is successful is 3/4. If it is successful it would generate profits of $120,000. The development costs for the mousetrap are $98,000. What is the expected value of the project?
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- 1. ABC inc. stock is currently selling for $30, one year from today the stock price can either increase by 20% or decrease by 15%. The probability of an increase in the stock price is equal to 0.3. The one-year risk-free rate is 5% What is the value of a European put that expires in one year with an exercise price of $24. 2. Graphically, show the value and the profit and loss of the following butterfly position: Long in a call with an exercise price of $30, short in 2 calls with an exercise price of $45, and long in a call with an exercise price of 60. All calls are written on the same stock and have the same maturity. 3. "Early exercise of an American option on a stock that does not pay any dividend is not optimal regardless of whether the option is a Call or a Put". True, False, or Uncertain. Explain.In a study in pre-term infants, a group where breast feeding is difficult because the mother gets home before the baby does, you run a logistic regression model where the independent variable is the mother's age and the dependent variable is whether the infant was breast feeding at discharge from the hospital. If the log odds for breast feeding for a 20 year old mom was -3.654 + (20) * 0.157 = -0.514, compute the predicted probability for breast feeding for a 20 year old mom. 0.598 / (1+0.598) O 0.598 0.598 / (1 - 0.598) -0.514 / (1+0.598)A certain model phone costs $599. The probability of the phone breaking over the course of a year is .07. What is the maximum amount you could pay for phone replacement insurance and still have a non-negative expected value on the policy? In other words, for what price or below would it be worth it to get the insurance?
- In the game of roulette, a player can place a $7 bet on the number 32 and have a 138 probability of winning. If the metal ball lands on 32, the player gets to keep the $7 paid to play the game and the player is awarded an additional $245.Otherwise, the player is awarded nothing and the casino takes the player's $7. Find the expected value E(x) to the player for one play of the game. If x is the gain to a player in a game of chance, then E(x) is usually negative. This value gives the average amount per game the player can expect to lose.Suppose an oil company is thinking of buying some land for $10,000,000. There is a 60%60% chance of economic growth and a 40%40% chance of recession. The probability of discovering oil is 44%44% when there is economic growth and 32%32% when there is a recession. If there is economic growth and the oil company discovers oil, the value of the land will triple. If they do not discover oil, the value of the land will decrease by 10%.10%. If there is a recession and the company discovers oil, the value of the land will increase by 50%.50%. If they do not discover oil, the land will decrease in value by 75%.75%. What is the expected value of the investment? Give your answer to the nearest dollar. Avoid rounding within calculations. $$ Select the correct interpretation of the expected value. The expected value represents what the actual investment value will be for this land purchase of $10,000,000. The company should make the investment because the expected value…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.An analyst attempting to predict a corporation’s earnings next year believes that the corporation’s business is quite sensitive to the level of interest rates. He believes that, if average rates in the next year are more than 1% higher than this year, the probability of significant earnings growth is 0.1. If average rates next year are more than 1% lower than this year, the probability of significant earnings growth is estimated to be 0.8. Finally, if average interest rates next year are within 1% of this year’s rates, the probability for significant earnings growth is put at 0.5. The analyst estimates that the probability is 0.25 that rates next year will be more than 1% higher than this year and 0.15 that they will be more than 1% lower than this year.a. What is the estimated probability that both interest rates will be 1% higher and significant earnings growth will result?b. What is the probability that this corporation will experience significant earnings growth?c. If the…hi, Need steps and answers, ty,
- In the game of roulette, a player can place a $6 bet on the number 11 and have a ag probability of winning. If the metal ball lands on 11, the player gets to keep the $6 paid to play the game and the player is awarded an additional $210. Otherwise, the player is awarded nothing and the casino takes the player's $6. Find the expected value E(x) to the player for one play of the game. If x is the gain to a player in a game of chance, then E(x) is usually negative. This value gives the average amount per game the player can expect to lose. The expected value is $ (Round to the nearest cent as needed.)Semiconductor lasers used in optical storage products require higher power levels for write operations than for read operations. High-power-level operations lower the useful life of the laser. Lasers in products used for backup of higher-speed magnetic disks primarily write, and the probability that the useful life exceeds five years is 0.0106. Lasers that are in products that are used for main storage spend approximately an equal amount of time reading and writing, and the probability that the useful life does not exceed five years is 0.5847. Now, 0.7486 of the products from a manufacturer are used for backup, while the remaining manufacturer's products are used for main storage. What is the probability that a laser that failed before five years came from a product used for backup? Select one: O a. 0.87645253 b. 0.01780615 c. 1.07899181 d. 0.83440299A tailor must make 6 of the same size suits for a client. The first suit took 12.8 hours to make and the last suit took 8.8 hours to make. What was the tailor's learning curve % of this run of suits assuming a steady state of production is never reached? Express your answer in % to the nearest 0.1%