what is the probability of disaster in august if the results of july was correct ?
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- Consider a linear birth–death process where the individual birth rate is λ=1, the individual death rate is μ= 3, and there is constant immigration into the population according to a Poisson process with rate α. Please explain and show work! (a) State the rate diagram and the generator. (b) Suppose that there are 10 individuals in the population. What is the probability that the population size increases to 11 before it decreases to 9? (c) Suppose that α = 1 and that the population just became extinct. What is the expected time until it becomes extinct again? α in Greek letter alpha.Old Faithful is a geyser located in Yellowstone National Park in Wyoming, USA. Millions of travelers come from afar to witness Old Faithful's eruptions each year. The data provided show the waiting time until the next eruption for 272272 Old Faithful eruptions in 1990. Suppose that prior to 1990, travelers to Yellowstone are told that Old Faithful is expected to erupt, on average, every 6969 minutes, and park scientists believe that this average is no longer true. Suppose that, based on historical data available over several decades, the scientists are comfortable assuming that all eruption waiting times have a known standard deviation of 17.24817.248 minutes. 54 74 62 85 55 88 85 51 85 54 84 78 47 83 52 62 84 52 79 51 47 78 69 74 83 55 76 78 79 73 77 66 80 74 52 48 80 59 90 80 58 84 58 73 83 64 53 82 59 75 90 54 80 54 83 71 64 77 81 59 84 48 82 60…Before 1918, approximately 60% of the wolves in a region were male, and 40% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 70% of wolves in the region are male, and 30% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced. (Round your answers to three decimal places.) (a) Before 1918, in a random sample of 10 wolves spotted in the region, what is the probability that 7 or more were male?What is the probability that 7 or more were female?What is the probability that fewer than 4 were female?(b) For the period from 1918 to the present, in a random sample of 10 wolves spotted in the region, what is the probability that 7 or more were male?What is the probability that 7 or more were female?What is the probability that fewer than 4 were female?
- Before 1918, approximately 55% of the wolves in a region were male, and 45% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 70% of wolves in the region are male, and 30% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced. (Round your answers to three decimal places.) (a) Before 1918, in a random sample of 10 wolves spotted in the region, what is the probability that 7 or more were male? What is the probability that 7 or more were female?What is the probability that fewer than 4 were female?(b) For the period from 1918 to the present, in a random sample of 10 wolves spotted in the region, what is the probability that 7 or more were male?What is the probability that 7 or more were female?What is the probability that fewer than 4 were female?Before 1918, approximately 55% of the wolves in a region were male, and 45% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 70% of wolves in the region are male, and 30% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced. (Round your answers to three decimal places.) (a) Before 1918, in a random sample of 12 wolves spotted in the region, what is the probability that 9 or more were male? What is the probability that 9 or more were female? What is the probability that fewer than 6 were female? For the period from 1918 to the present, in a random sample of 12 wolves spotted in the region, what is the probability that 9 or more were male? What is the probability that 9 or more were female? What is the probability that fewer than 6 were female?Before 1918, approximately 55% of the wolves in a region were male, and 45% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 70% of wolves in the region are male, and 30% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced. (Round your answers to three decimal places.) (a) Before 1918, in a random sample of 11 wolves spotted in the region, what is the probability that 8 or more were male?What is the probability that 8 or more were female?What is the probability that fewer than 5 were female?
- The time between successive calls to a corporate office is exponentially distributed with a mean of 10 minutes. Assume that the times between successive calls are independent of each other. Thus, the calls arrive according to a Poisson process. Determine x such that the probability that there are no calls within x minutes is 0.005.The distance between two subsequent rust attacks is exponentially distributed with parameter λ (the distancebetween subsequent events in a Poisson process is exponentially distributed), and we still assumethat λ = 5 per kilometer.What is the probability that the distance between two consecutive rust attacks is between 200and 300 meters ?52% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 162 of the 266 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 0.05? The p-value = (Please show your answer to 4 decimal places.) The p-value is ____ α Based on this, we should: (Select an answer: fail to reject, accept, reject) the null hypothesis. Thus, the final conclusion is that ... The data suggest the populaton proportion is significantly larger than 52% at αα = 0.05, so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is larger than 52% The data suggest the population proportion is not significantly larger than 52% at αα = 0.05, so there is sufficient evidence to conclude that the population proportion of students who played intramural sports…
- The National Vaccine Information Center estimates that 90% ofAmericans have had chickenpox by the time they reach adulthood. We now consider a random sampleof 120 American adults. We want to find out the probability that 110 or more people in this samplehave had chickenpox in their childhood use normal approximation to approximate the probability that 110 or more people in this samplehave had chickenpox in their childhood. Do not use continuity correction.A private pilot wishes to insure his airplane for $1,000.000. The insurance company estimates that a total loss will occur with probability 0.002, a 50% loss with probability 0.1. Ignoring all other partial losses, what premium should the insurance company charge each year to realize an average profit of $25,000? Note: Do not round off or round up in between calculations.an old house in philadelphia is inhibited by a variety of ghosts. appearances occur in the house according to a poisson process having a rate of 1.4 ghosts per hour. A professor from transylvannia university has developed a device which can be used to detect ghost appearances. suppose the device is developed is to be installed in the house and switched on at 8 am what is the probability that the 4th ghost appears more than 30 minutes after the 3rd ghost