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Question: A pair of dice is rolled in a remote location and when you ask an honest observer whether at least one die came up six, this honest observer answers in the affirmative.
a) What is the probability that the sum of the numbers that came up on the two dice is seven, given the information provided by the honest observer?
b) Suppose that the honest observer tells us that at least one die came up five. What is the probability the sum of the numbers that came up on the dice is seven, given this information?
Budgets play a critical role in management activities such as planning, controlling and motivating employees. Used effectively, budgets can help a company achieve its goals and create a productive work environment.
rolling a fair eight sided dice produces a uniformly distributed set of numbers between 1and 8 with a mean of 4.5 and a
Suppose that x is normally distributed with a mean of 50 and a standard deviation of 15. What is P(34.55 ≤ x ≤ 72.95)?
Four different brands of a pain medication used for chronic back ailments were tested to see if the number of side effects for each brand were the same. The table below lists the results of the reported number of side effects for each brand of pa..
According to the Bureau of Economic Analysis, the savings rate of American households, defined as a percentage of the disposable personal income, was 4.20% in 2009.
(a) Show for either the discrete case or the continuous case that the partial derivative of the joint momentgenerating function with respect to ti at t1 = t2 = ··· = tk = 0 is E(Xi).
Thus, to estimate λ from n independent samples X1,..., Xn, either of the following techniques should work. (a) Calculate the sample mean Mn (X) and form the estimate λˆ = 1/Mn(X).
The Acme School of Locksmithing has been accredited for the past 15 years. Discuss how this information might be interpreted as a qualitative variable.
Compute the probability that 8 or more women would be laid off at random. Based on your answer, do you think that management really laid off these people randomly? Explain.
Blades, Inc., has recently decided to establish a subsidiary in Thailand to produce Speedos, Blades' primary roller blade product. In establishing the subsidiary in Thailand, Blades was motivated by the high growth potential of the Thai roller bla..
Let T denote the length of time that we have to wait, after we start our observation, for an occurrence. Have your program keep track of T. What is an estimate for the average value of T ?
Consider loglinear model (WXZ, WYZ). a. Draw its independence graph, and identify variables that are conditionally independent. b. Explain why this is the most general loglinear model for a four-way table for which X and Y are conditionally indep..
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