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Prove that a non-negative, uniformly integrable sub martingale that converges to 0 a.s. as n → ∞ is identically 0.
If six classes are to be formed, choose an appropriate lower class limit for the first class and a class width. Construct a frequency distribution. Construct a relative frequency distribution
How large a sample is required to estimate the mean speed with a margin of error equal to 2 miles per hour with 90% confidence?
A bank's loan officer rates applicants for credit. The ratings can be described by a Normal model with a mean of 200 and a standard deviation of 50.
In a capture- recapture survey, 10,000 salmon were released after marking by inserting small wires. When 6000 fish from the population were subsequently caught, 400 of the wire tags were discovered by running the fish through a metal detection dev..
Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis.
Do we have to worry about confounding variables in this instance? Why? If so identify a possible confounding variable? Are either of the terms retrospective study or prospective study relevant? Explain.
customers arrive at the atm at the rate of 12 customers per hour and spend 2 minutes on average on all the
Suppose we want to conduct a poll to estimate the proportion of voters who approve of the current mayor, and we plan to use a 95% confidence interval for our estimate.
Create an R chart for these data, using subgroups of size 4. Is the process variation under control?
Suppose that P(X = 1) = P(X = -1) = 1/2, that Y ? U(-1, 1) and that X and Y are independent.
Let Σ be a (p x p) partitioned covariance matrix. The coefficients that maximize the correlation between the linear combinations u =aTX(1) and v = βTX(2) are the latent vector solutions of the systems of equations.
A group of marketing researchers study the expenditures on dinning out. They want to have a 95 percent confident level (Z) and accept a magnitude of error (E) of less than $3.00. The estimate of the standard deviation is $24.00 based on their pilo..
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