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Let X have a binomial distribution with parameters n and p, and let the conditional distribution of Y given X = x be Poisson with mean x.
a. What is the variance of Y?
b. What is the joint distribution of the pair(X,Y)?
the maximum point total for the quarter was 200. The point totals for the 10 students are given in the stemplot below. For the density curve displayed below, which of the following is true?
Give an example of a situation in which you believe a Type I Error is more serious. Give an example of a situation in which you believe a Type II Error is more serious. In each case, why do you think so?
Define probability and explain its three perspectives. Provide an example of each. Explain the concept of mutually exclusive events. How do you compute the probability P(A or B) when A and B are, and are not, mutually exclusive.
"In each of the following situations, a hypothesis test for a population mean is needed. For each situation select the correct choice of the null hypothesis H0 and the alternative hypothesis Ha.
A manufacturer wishes to estimate the proportion of washing machines leaving the factory that is defective. How large a sample should she check in order to be 93 percent confident that the true proportion is estimated to within 0.014?
A manuscript is sent to a typing firm consisting of typists A, B, and C. If it is typed by A, then the number of errors made is a Poisson random variable with mean 2.6; if typed by B, then the number of errors is a Poisson random variable
you need to estimate the mean number of travel days per year for outside salespeople. the mean of a small pilot study
Body mass index is measured as the ratio of weight in kilograms to height in meters squared. Are there outliers in the distribution of BMI (justify your answer)?
Is the sample a part of the population or the population apart of the sample? Why would researchers just not use the entire population to be more accurate? Can you give an example of a sample from a given population?
Express the null hypothesis and the alternative hypothesis in symbolic form: An entomologist writes an article in a scientific journal, which claims that fewer than 7 in ten thousand male fireflies are unable to produce light due to a genetic muta..
Given that a Brand A battery just failed, what is the expected value of the time we wait until the next Brand B failure?"
There a flu epidemic that is spreading across SF County. You are a principle and are in charge of 32 teachers. You want to plan ahead and be able to estimate how many substitute teachers the school may need during this epidemic.
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