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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- 21 Los Angeles averages 266.5 sunny days per year. What is probability that Boston has at least as many sunny days as Los Angeles? a 0.0020 b 0.0031 c 0.0047 d 0.0073Please no written by hand solution Kate recently invested in real estate with the intention of selling the property one year from today. She has modeled the returns on that investment based on three economic scenarios. She believes that if the economy stays healthy, then her investment will generate a 30 percent return. However, if the economy softens, as predicted, the return will be 10 percent, while the return will be -25 percent if the economy slips into a recession. If the probabilities of the healthy, soft, and recessionary states are 0.6, 0.2, and 0.2, respectively, then what are the expected return and the standard deviation of the return on Kate❝s investment? Calculate the coefficient of variation for this investment. (Round expected return to 3 decimal places, e.g. 0.125 and round intermediate calculations and standard deviation to 5 decimal places, e.g. 0.07680.)The owner of Tastee Cookies needs to decide whether to lease a small, medium, or large new retail outlet. She estimates that monthly profits will vary with demand for her cookies as follows: SIZE OFOUTLET DEMAND LOW HIGH Small $ 1,000 1,000 Medium 500 2,500 Large 0 3,000 For what range of probability that demand will be high, will she decide to lease the medium facility?
- You may need to use the appropriate appendix table or technology to answer this question. Shoppers enter a mall at an average of 360 per hour. (Round your answers to four decimal places.) (a) What is the probability that exactly 15 shoppers will enter the mall between noon and 12:05 p.m.? 0.0010 (b) What is the probability that at least 70 shoppers will enter the mall between 5:00 and 5:10 p.m.? 0.0985 XThe data from 200 machined parts are summarizedas follows:y yesdepth of boreE, noabovebelowedge conditioncoarsetarget15target10moderatesmooth25205080(a) What is the probability that a part selected has a moderateedge condition and a below-target bore depth?(b) What is the probability that a part selected has a moderateedge condition or a below-target bore depth?(c) What is the probability that a part selected does not have amoderate edge condition or does not have a below-targetbore depth?(d) Construct a Venn diagram representation of the events inthis sample space.The probabilities of X, Y and Z becoming managers are 4/9, 2/9 and 1/3 respectively. The probabilities that the Bonus Scheme will be introduced if X, Y and Z becomes managers are 3/10, 1/2, and 4/5 respectively. (i) What is the probability that Bonus Scheme will be introduced, and (ii) if the Bonus Scheme has been introduced, what is the probability that the manager appointed was X ?
- The probability distribution for the number of automobiles sold during a day (x) at Bob Iron Motors isas follows. x f(x) 0 0.001 1 0.007 2 0.034 3 0.099 4 0.188 5 6 0.220 7 0.136 8 0.055 9 0.015 10 0.001 17 The probability that 5 automobiles will be sold is,a 0.232b 0.244c 0.257d 0.271The owner of a ski resort is considering installing a new ski lift that will cost $900,000. Expenses for operating andmaintaining the lift are estimated to be $1,500 per day when operating. The U.S. Weather Service estimates thatthere is a 60% probability of 80 days of skiing weather per year, a 30% probability of 100 days per year, and a 10% probability of 120 days per year. The operators of the resort estimate that during the first 80 days of adequate snow in a season, an average of 500 people will use the lift each day, at a fee of $10 each. If 20 additional days are available, the lift will be used by only 400 people per day during the extra period; and if 20 more days of skiing are available, only 300 people per day will use the lift during those days. The owners wish to recover any invested capital within five years and want at least a 25% per year rate of return before taxes. Based on a before-tax analysis, should the lift be installed?Guy Fieri has purchased a significant plot of land in Northwest Ohio for his newest venture: FlavorTownship. This hub for mind-boggling flavor and entertainment is a strictly for-profit operation. Guy would like to keep Flavor Township open all year-round, but due to Ohio weather the following are the probabilities of when it will be open: |- 30% chance it is open 300 days a year |- 55% chance it is open 325 days a year |- 15% chance it is open 350 days a year Flavor Township will expect to host 14,000 people each day that it is open and expects an average revenue of $45 per visitor. This paradigm-shifting landmark will cost $420,000,000 to start the investment and will require annual costs (food, employees, etc.) of $115,000,000. Every 3 years, Flavor Township will undergo necessary maintenance that will cost $22,000,000. If the expected life of Flavor Township is 15 years and a 16% return is expected, what is the expected NPV of this project?
- A signed a contract with B to buy a machine at a price of $920. Assume that A's value for the machine is $1000. At the time when the contract is signed, B's cost of making the machine is a random variable subject to the following probability distribution. Realized Cost Probability 1200 800 400 0.3 0.5 0.2 What is the efficient probability that the contract is breached?An insurance company would like to offer theft insurance for renters. The policy wouldpay the full replacement value of any items that were stolen from the apartment. Someapartments have security alarms installed. Such systems detect a break-in and ring an alarmwithin the apartment. The insurance company estimates that the probability of a theft in ayear is .05 if there is no security system and .01 if there is a security system (there cannot bemore than one theft in any year). An apartment with a security system costs the renter anadditional £50 per year. Assume that the loss from a theft is £10,000 and that the insurancecompany is risk neutral and the renter would be willing to pay more than the expected loss toinsure against the loss of theft. What is the insurance company's break even price for a one year theft insurance policy for anapartment without a security system?themepans i max Task 3: During the last 10 years, a corporation's net profit increased year over year 6 times and decreased year over babive969 with characteristicsmber of annual earnings increases for the next 10 years is modelled in 4 times. Assume that the accordance with quote of the binomial distribution. Estimate the probability that the corporation's net profit will increase in exactly 4 of the next 10 years. tot twee monteutimut ethomi smo bsd-.2.U A :clesT Diswiot brs toqe ert tuods noitsmotnleysb 08 ni utimut to insmqinle 6 101 000,000,83 vsqof ever lliw 2.0 woled nevig ai 29161 (AU3 8.0 ataoo 020) 008.0 02U AU3 eer.o 020 A03 9161 toqe tre etsi biswiot ysb-08