4. The distribution of the time until change (in days) of a Web Days until Changes 1.5 site is approximated in the following table. Probability Calculate the mean and variance for X. 0.05 3.0 0.25 4.5 0.35 5.0 0.20 7.0 0.15
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- Pax World Balanced is a highly respected, socially responsible mutual fund of stocks and bonds. Vanguard Balanced Index is another highly regarded fund that represents the entire U.S. stock and bond market (an index fund). The mean and standard deviation of annualized percent returns are shown below. The annualized mean and standard deviation are for a recent 10-years period.†. If x represents return and s represents risk, then explain why the coefficient of variation can be taken to represent risk per unit of return. From this point of view, which fund appears to be better? Explain. A. Since the CV is s/s2 we can say that the CV represents the risk per unit of return; the Pax fund appears to be better because the CV is smaller. B. Since the CV is s/s2 we can say that the CV represents the risk per unit of return; the Vanguard fund appears to be better because the CV is smaller. C. Since the CV is s/x we can say that the CV represents the risk per unit of return; the Pax fund…Consider an investment whose return is normally distributed with mean of 8% and a standard deviation of 5%. A. Determine the probability of losing money. B.Find the probability of losing money when the standard deviation is equal to 10%.The number of days ahead of their trip that travelers purchase their airline tickets can be modeled as an exponential distribution with a mean of 12 days. a. Determine the probability that a traveler will purchase their ticket less than 25 days before their trip Answer in exact fraction, or rounded to at least 4 decimal places. b. Determine the 77 percentile number of days by which travellers make an advance purchase of their tickets. Answer in exact fraction, or rounded to at least 4 decimal places. days
- Ryan is throwing a football through a tire in his backyard. He has the probability of .30 of throwing the ball through the tire on each attempt, and each attempt is independent of the one before. Draw the graph of the PDF for the first five attempts. What does the graph tell you about the mean and standard deviation?The useful life of an electrical component is exponentially distributed with a mean of 4,000 hours. a. What is the probability the circuit will last more than 4,750 hours? b. What is the probability the circuit will last between 4,000 and 4,250 hours? c. What is the probability the circuit will fail within the first 3,750 hours?Accrotime is a manufacturer of watches. Accotime researchers have shown that watches hwe an average life of 28 months before certain electronic components deteriorate causing the watch to become unreliable. The standard deviation of watch lifetimes is 5 months and the distribution is noemal. If Accrotime guarantees a full refund of any defective watch for 1.5 years after the purchase, what percentage of total production will the company expect to replace? Write your answer as a percentage rounded to 1 decimal place. For the toolbar, Press ALT+F10 (PC) or ALT+FN+F10 OMCA) 0 WOAOS POWEASD BY TINY
- 4. The time between calls to a plumbing supply business is exponentially distributed with a mean time between calls of 15 minutes. What is the probability that there are no calls within a 30-minute interval?Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 240 feet and a standard deviation of 48 feet. Let X = distance in feet for a fly ball. If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 186 feet? (Round your answer to four decimal places.) ch6#4The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 12 seconds. A. IN EXCEL sketch this exponential distribution, and Standard deviation. B. IN EXCEL What is the probability that the arrival time between vehicles is 12 seconds or less. C. IN EXCEL What is the probability that the arrival time between vehicles is 6 seconds or less.
- Please show the complete solution. Thanks!The time it takes a mechanic to change the oil in a car is exponentially distributed with a mean of 6 minutes. What is the probability that it will take a mechanic between 2 and 5 minutes to change the oil? .2820 .1719 .0565 .3678The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?