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Question: This problem introduces a simple meteorological model, more complicated versions of which have been proposed in the meteorological literature. Consider a sequence of days and let Ri denote the event that it rains on day i. Suppose that P(Ri | Ri-1) = α and P(Rci | Rci-1) = β. Suppose further that only today's weather is relevant to predicting tomorrow's; that is, P(Ri | Ri-1 ∩ Ri-2 ∩···∩ R0) = P(Ri | Ri-1).
a. If the probability of rain today is p, what is the probability of rain tomorrow?
b. What is the probability of rain the day after tomorrow?
c. What is the probability of rain n days from now? What happens as n approaches infinity?
In all, n = 100 bottles were tested. Give two transformations that are suitable transformations to try that might achieve a distribution somewhat closer.
What percent of these students are oldest or only children?- What percent of Humanities majors are oldest children?
Independent random samples of sizes nX = 8 and nY = 10 were extracted from normal populations having unknown means. What is the 95% confidence interval for µX - µY if the population variances are unknown?
Sample of 1500 voters was taken and the number who are voting yes is recorded. What is the probability that more than 50% of those 1500 vote yes?
Heights of men on a baseball team has a bell-shape distribution with a means of 173 cm and a standard deviation of 9 cm. Using the empirical, rule what is the approximate percentage of the men between the following values?
The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester on the basis of past experience, What is the expected number of admissions for the fall semester
The sample size of 8 and 10 respectively. cant it be concluded at alpha .05 that the average size of the famrs in the 2 counties are different? assume the populations are normallyh distributed.
What is the mean of the sampling distribution? What is the standard deviation of the sampling distribution? What is the probability that the mean tuition and fees of the sample is greater than $20,000?
What is the probability that 30% or fewer male employees will indicate that they have to pick up the slack for mom's working flextime ?
A researcher claims that the average age of people who buy lottery tickets is 70. A sample of 30 is selected and their ages are recorded as shown below. The standard deviation is 16. At alpha = 0.05 is there enough evidence to reject the researche..
Use double sampling to estimate the mean or total of a population of your choice in which an auxiliary variable exists that is easier to observe than the variable of interest.
A statistics profressor plans classes so carefully that the lengths of her classes are uniformly distributed between 50.0 and 60.0 minutes. Find the probability that a given class period runs great than 50.5 minutes.
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