Because of bad weather, the number of days next week that the captain of a charter fishing boat can leave port is uncertain. The following probability distribution for the number of days that the boat is able to leave port per week was determined based on historical data when the weather was poor: The number of days the boat can leave port per week 0 1 2 3 4 5 6 7 Probability 0.20 0.05 0.05 0.05 0.15 0.10 0.15 0.25 Based on the probability distribution, what is the expected number of days per week the captain can leave port. Group of answer choices 4.00 2.85 4.05 3.55 3.50
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- A company that manufactures and sells T-shirts for sporting events, is providing shirts for an upcoming tournament. Each shirt will cost $7 to produce and will be sold for $13. Any unsold shirts at the end of the tournament can be sold for $5 apiece in the near future. The company assumes the demand for the shirts will be 1,500,3,000,4,500, or 6,000. The company also estimates that the probabilities of each of these sales levels occurring will be 20%, 25%,25%, and 30%, respectively. Determine the expected monetary value of the project if the company chooses to print 4,500 shirts for the tournament. The expected monetary value is---- (Type a whole number.)An individual has a utility function U(W)= √w. where W is the level of wealth.They have been offered a gamble with a payout of 100 with a probability of 0.31 and a payout of £35 with a probabiity of 1-031.The Certainty Equivalent of this gamble is:2.4 The opening 2018 World Cup odds against being the winning team specified by espn.com were 9/2 for Germany, 5/1 for Brazil, 11/2 for France, 20/1 for England, and 7/1 for Spain. Find the corresponding prior probabilities of winning for these five teams.
- If patient insurance inquiries arrive at Blue Choice insurance with a mean rate of 3.6 calls per minute, the exponential probability of waiting more than 0.5 minutes to get the next inquiry call is _____. Question 6Select one: a. 0.2407 b. 0.1222 c. 0.5000 d. 0.1653A software developer makes 175 phone calls to its current customers. There is an 8 percent chance of reaching a given customer (instead of a busy signal, no answer, or answering machine). The normal approximation of the probability of reaching at least 20 customers is Multiple Choice .022 .007 .063 .937Your employer, an insurance company, would like to offer theft insurance for renters. The policy would pay the full replacement value of any items that were stolen from the apartment. Some apartments have security alarms installed. Such systems detect a break-in and ring an alarm within the apartment. The insurance company estimates that the probability of a theft in a year is .05 if there is no security system and .01 if there is a security system (there cannot be more than one theft in any year). An apartment with a security system costs the renter an additional $50 per year. Assume that: the dollar loss from a theft is $10,000, the insurance company is risk neutral, and the renter would be willing to pay more than the expected loss to insure against the loss of theft. What is the insurance company's break-even price for a one-year theft insurance policy for an apartment without a security system? Does a renter have an incentive to pay for a security system if he…
- Your employer, an insurance company, would like to offer theft insurance for renters. The policy would pay the full replacement value of any items that were stolen from the apartment. Some apartments have security alarms installed. Such systems detect a break-in and ring an alarm within the apartment. The insurance company estimates that the probability of a theft in a year is .05 if there is no security system and .01 if there is a security system (there cannot be more than one theft in any year). An apartment with a security system costs the renter an additional $50 per year. Assume that: the dollar loss from a theft is $10,000, the insurance company is risk neutral, and the renter would be willing to pay more than the expected loss to insure against the loss of theft. What is the insurance company's break-even price for a one-year theft insurance policy for an apartment without a security system? Does a renter have an incentive to pay for a security system if he…Your company has a customer list that includes 3000 people. Your market research indicates that 90 of them responded to the coupon. If you send a coupon to ONE customer at random, what’s the probability that he or she will use the coupon? Group of answer choices 3%. 9%. 30%. 90%. None of the above.The probability that a visitor to an animal shelter will adopt a dog is 0.10. Out of 9 visits, what is the probability that at least (equal to or more than) 1 dog will be adopted? a. 0.3874 b. 0.6126 c. 0.5639 d. 0.1342
- "Jay, a writer of novels, just has completed a new thriller novel. A movie company and a TV network both want exclusive rights to market his new title. If he signs with the network, he will receive a single lump sum of $1,460,000, but if he signs with the movie company, the amount he will receive depends on how successful the movie is at the box office.The probability of a small box office earning $210,000 is 0.27. The probability of a medium box office of $1,530,000 is 0.64, and the probability of a large box office of $3,190,000 is 0.09.Jay can send his novel to a prominent movie critic to assess the potential box office success. It will cost $21,000 to get the novel evaluated by the movie critic.The movie critic can have either a favorable or unfavorable opinion. The movie critic's reliability of predicting box office success is as follows.If the movie will have a large box office, there is a 0.61 probability the critic will have a favorable opinion.If the movie will have a medium…"Jay, a writer of novels, just has completed a new thriller novel. A movie company and a TV network both want exclusive rights to market his new title. If he signs with the network, he will receive a single lump sum of $1,460,000, but if he signs with the movie company, the amount he will receive depends on how successful the movie is at the box office.The probability of a small box office earning $210,000 is 0.27. The probability of a medium box office of $1,530,000 is 0.64, and the probability of a large box office of $3,190,000 is 0.09.Jay can send his novel to a prominent movie critic to assess the potential box office success. It will cost $21,000 to get the novel evaluated by the movie critic.The movie critic can have either a favorable or unfavorable opinion. The movie critic's reliability of predicting box office success is as follows.If the movie will have a large box office, there is a 0.61 probability the critic will have a favorable opinion.If the movie will have a medium…A property owner is faced with a choice of: A large-scale investment to improve her flats. This could produce a substantial pay-off in terms of increased revenue net of costs but will require an investment of 1.4 million pesos. After extensive market research it is considered that there is a 40% chance that a pay-off of 2.5million will be obtained, but there is a 60% chance that it will be only 800,000 pesos. A smaller scale project to re-decorate her premises. At 500,000 pesos this is less costly but will produce a lower pay-off. Research data suggests a 30% chance of a gain of one million pesos but a 70% chance of being only 500,000 pesos. Continuing the present operation without change. It will cost nothing but neither will it produce any pay-off. Clients will be unhappy and it will become harder to rent the flats out when they become free. What is the best alternative? Use decision tree analysis.