Long Questions 13. (а) Jisoo is considering ihe investment opportunities of a stock. After detail analysis, She concluded that there are only five possible return in the coming year. The probability of getting these five possible returns are stated in the following table. Return (%) -9 -5 3 4 10 Probability 0.05 0.2 0.1 X 0.25 (i) What is the value of "X" in the table above? (ii) What is the expected return of this stock?
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- Conditional probability About 25 of the population watches the evening television news coverage as well as the soap operas. If 75 of the population watches the news, what percent of those who watch the news also watch the soaps?A recent study investigated whether renowned violinists were able to classify the age of a violin. In the study, violins constructed before 1900 and violins constructed after 2010 were used. The violinists played each violin and were asked to classify the violin as old (constructed before 1900) or new (constructed after 2010). The responses are shown in the following table. Which of the following statements is supported by the results in the table? A. The proportion of all new violins that are correctly classified is equal to the proportion of all old violins that are correctly classified. B. The proportion of all new violins that are incorrectly classified is equal to the proportion of all old violins that are correctly classified. c. The proportion of all incorrectly classified violins that are old is equal to the proportion of all correctly classified violins that are new. D. The proportion of all incorrectly classified violins that are new is equal to the proportion of…Consider a medical practitioner pondering the following dilemma: “If I’m at least 80 percent certain that my patient has this disease, then I always recommend surgery, whereas if I’m not quite as certain, then I recommend additional tests that are expensive and sometimes painful. Now, initially I was only 60 percent certain that Jones had the disease, so I ordered the series A test, which always gives a positive result when the patient has the disease and almost never does when he is healthy. The test result was positive, and I was all set to recommend surgery when Jones informed me, for the first time, that he was diabetic. This information complicates matters because, although it doesn’t change my original 60 percent estimate of his chances of having the disease in question, it does affect the interpretation of the results of the A test. This is so because the A test, while never yielding a positive result when the patient is healthy, does unfortunately yield a positive…
- The boxplots for the grade scores in the midterm exam in a Calculus I class for two different classes is attachedClass 1: Q1= 65 M= 70 Q3 = 80Class 2: Q1= 60 M= 70 Q3 = 75Which class is likely to have a greater percentage of students with grades smaller or equal to 70? Class 2 Class 1 It is impossible to tell. Neither Both classes are about equal. Which class has 50% percentage of students with grades between 70 and 80? Class 2 Both classes are about equal. Neither It is impossible to tell. Class 1 For which class did 25% of students receive grades between 60 and 70? Both classes are about equal. Class 1 Class 2 Neither It is impossible to tell.(a)Consider a flight with a seating capacity of 160 seats. This flight is always full and there is a chance to be overbooked. The actual no-show rate (NSR) of the flight is 3.5% and the estimated NSR is 6.3%. If this flight is oversold according to the estimated NSR, what is the number of excess/extra passengers that will show up and there will be no seats for them on the day of departure? (b)Consider a flight with a seating capacity of 160 seats. This flight is always full and there is a chance to be overbooked. The actual no-show rate (NSR) of the flight is 3.5% and the estimated NSR is 6.3%. If the one-way fare of this flight is $300. If this flight is oversold according to the estimated NSR, what is the additional revenue that this flight will generate due to overbooking?B. The best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 42 years is____ years old. C. Is the result within 5 years of the actual Best Actor winner, whose age was 43 years? (Yes/ No) the predicted age is (more than 5 years greater than/more than 5 years less than/5 years or less from) the actual winner's age.
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- Returns earned over a given time period are called realized returns. Historical data on realized returns is often used to estimate future results. Analysts across companies use realized stock returns to estimate the risk of a stock. Consider the case of Celestial Crane Cosmetics Inc. (CCC): Five years of realized returns for CCC are given in the following table. Remember: 1. While CCC was started 40 years ago, its common stock has been publicly traded for the past 25 years. 2. The returns on its equity are calculated as arithmetic returns. 3. The historical returns for CCC for 2014 to 2018 are: 2014 2015 2016 2017 2018 Stock return 18.75% 12.75% 22.50% 31.50% 9.75% Given the preceding data, the average realized return on CCC’s stock is . The preceding data series represents of CCC’s historical returns. Based on this conclusion, the standard deviation of CCC’s historical returns is . If investors expect the…Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day.A sample of 75 stocks traded on the NYSE that day showed that 36 went up.You are conducting a study to see if the proportion of stocks that went up is significantly more than 0.3. You use a significance level of α=0.001What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day.A sample of 75 stocks traded on the NYSE that day showed that 19 went up.You are conducting a study to see if the proportion of stocks that went up is is significantly less than 0.3. You use a significance level of α=0.001.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =