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Let X1,..., Xn be a random sample from an N (μ, σ2) distribution. Show that the sample median, M, is an unbiased estimator of the population mean μ. Compare the variances of X and M. [Note: For the normal distribution, the mean, median, and mode all occur at the same location. Even though both X and M are unbiased, the reason we usually use the mean instead of the median as the estimator of μ is that X has a smaller variance than M.]
Find the probability that 4 of the 5 committee members belong to a union.Find the probability using hypergeometric distribution.
Question 1 Which of the following indicates how many observations fall into various categories?
Random sample of 40 male math professors are selected. What is the probability that the sample mean salary of male math professors will not exceed that of the female math professors?
questionnew spark plugs have just been installed in a small airplane with a four-cylinder engine. there is one spark
a souvenir retailer has an opportunity to establish a new location inside a large airport. the annual returns will
Solve the system using the inverse of the coefficient matrix of the equivalent matrix equation?
orders for a computer are summarized by the optional features that are requested. the proportion of orders with no
provide a numerical answer to each of the following questions and also show the calculations you used to find the
Bob throws six dice and wins if he scores at least one ace. Alice throws 12 dice and wins if she scores at least two aces. Who has the greater probability of winning?
a multiple choice exam has 10 questions. each question has 4 possible answers of which one is correct. a student
How could your answer in question (a) change if you knew returns followed a skewed distribution instead of a normal distribution? Explain briefly.
Reflect on radical expressions and their applications, and then consider how you might apply radical expressions to your daily life. Explain this application,
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