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1. Suppose that the random variables X and Y are independent and N (0, σ2)- distributed.
(a) Show that X/Y ∈ C(0, 1).
(b) Show that X + Y and X - Y are independent.
(c) Determine the distribution of (X - Y )/(X + Y ).
2. Suppose that the moment generating function of (X, Y )t is ψX,Y (t, u) = exp{2t + 3u + t2 + atu + 2u2}. Determine a so that X + 2Y and 2X - Y become independent.
a young couple eve and steven want to divide their main household chores shopping cooking dishwashing and laundering
A sample of 10 observations is selected from a normal population for which the population standard deviation is known to be 4. The sample mean is 23. (Round your answers to 3 decimal places.) (a) The standard error of the mean is_____?
The batteries in his calculator. What is the probability that all four batteries work? What are the mean and variance for the number of batteries that work?
pieces of vulcanite were examined according to porosity and dimensional defects and the results are shown below. test
General scores on academic performance in english language using 60 participant. let the highest score be 90 and 10. use a class inertval of 10 create your class interval and frequency and use the information to answer.
For the following exercise, complete the following: Find the mean, median, and range for each of the two data sets. Find the standard deviation using the rule of thumb for each of the data sets.
peak expiratory flow pef is a measure of a patientotildes ability to expel air from the lungs. patients with asthma or
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What type of sampling was used here and what are the mean and standared deviation of the sample - Research to find the average height of all men in the United States.
Using a three month moving average, what would the forecast and MAD have been for July? Which forecasting method would you recommend? Why?
a random sample of mens soccer shoes from an international catalog had the following weights in ounces10.8 9.8 8.8 9.6
Joes Trucking provides shipping service from the outlying areas of New York City to a known distribution point within Manhattan. To understand the number of trucks required for a given service level agreement defined by a guaranteed delivery i..
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