A student takes an exam containing 20 multiple choice questions. The probability of choosing a correct answer by knowledgeable guessing is 0.3. At least 13 correct answers are required to pass. If the student makes knowledgeable guesses, what is the probability that he will fail? Round your answer to four decimal places.
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- QUESTION 11 ABC Store's data of the past 500 days shows that the online daily sales of a cooking pot of a special brand was between ten and eighteen pots. If of the 500 days, there were 100 days with daily sale of 15 pots, then what is the probability that the daily sale is 15 pots? (Put your result in a decimal number. Keep 3 digits after the decimal points.)You work at a mechanic shop. 40% of cars that come in have a flat tire. If there are 50 cars in the shop, what is the probability that more than 30 have a flat tire? Round to three decimal points.2. A city had an unemployment rate of 7%. The mayor pledged to lower this figure and supported programs to decrease unemployment. A group of citizens wanted to test with 0.032 label of significance if the unemployment rate had actually decreased, so they obtained a random sample of 500 citizens to see what proportion of the sample was unemployed. Only 32 citizens in the above sample is still unemployed. What is the probability of Type II error if the actual unemployment rate is 6.5% please don't use software everything needs to be done by hand. Explain because I don't understand my professor. Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
- The probability that the next President will be a Democrat is 0.5, and the probability that the next President will be a woman is 0.3. The probability the next President will be a woman and a Democrat is 0.1. What is the probability the next President will be a Democrat or a woman?a. A company produces lightbulbs whose life follows a normal distribution, with mean 1200 hours and standard deviation 250 hours. If we choose a lightbulb at random, what is the probability that its lifetime will be between 900 and 1300 hours? (answer in three decimal places)Decorators Co. got a 15-year loan from NatWest Bank in 2016 for an amount of £22 million. The loan was taken at an annual interest rate of 12%. After 5 years in 2021, Decorators Co. had managed to pay back £9.5million. Currently owing on the loan is the principal balance plus interest of £800,000. In 2021, the probability that Decorators Co. defaults on the loan is 4.5%, in the same year, if there is a default, NatWest bank expects that it will be able to recover 75% of the loan. Given the information above, you are required to determine: Exposure at default (EAD) Value of Loss given default value (LGD) Expected loss (EL)
- Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 5 Pennies 27 Dimes 18 Nickels 8 QuartersQ. 2. Explain why there must be mistake in the following statement: "A quality control engineer claims that the probability that a large consignmen of glass bricks contians 0, 1, 2, 3, 4 or 5 defectives are 0-11%; 0-23, 0-37, 0-26, 0-009 and 0-05 respectively".Please 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.)
- 4To solve: A manufacturer of high-tech computing equipment must decide whether or not to continue development of a new promising technology. continuing the development would cost $2 Million. If the development is continued, then a patent is either awarded or not. 70% chance that the patent will be awarded and The best estimate is that there is a a 30% chance that it will not. if the patent is awarded, the company needs to decide whether or not to license the technology. it does, it would receive a total of $25 million in licensing royalties. However, the company could also produce and sell the technology in-house (at. a cost of $10 million), in which case there is an additional uncertainty about the demand for the technology. if the demand is high (p = 0.25), the company would make $55 Million in revenues, if the demand is medium (p = 0.55) the company would make $33 Million and if the demand is Low (p = 0.20) the company would still make $15 Million. a) Draw and solve a decision tree…5.100 Tossing a die. You are tossing a balanced die that has probability 1/6 of coming up 1 on each toss. Tosses are independent. We are interested in how long we must wait to get the first 1. (a) The probability of a 1 on the first toss is 1/6. What is the probability that the first toss is not a 1 and the second toss is a 1? (b) What is the probability that the first two tosses are not 1s and the third toss is a 1? This is the probability that the first 1 occurs on the third toss. 4 (c) Now you see the pattern. What is the probability that the first 1 occurs on the fourth toss? On the fifth toss?