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1. (Bivariate Normal Probability). Suppose the amounts of oil (in barrels) lifted on a given day from two wells are jointly bivariate normal, with means 150 and 200, variances 100 and 25, and correlation .5. What is the probabil- ity that the total amount lifted is larger than 400 barrels on any given day? What is he probability that the amounts lifted from the two wells on any day differ by more than 50 barrels?
2. * (Conceptual). Suppose .X; Y / have a bivariate normal distribution with zero means, unit standard deviations, and correlation p; -1 p 1: What is the joint distribution of .X C Y; X - Y; Y /? Does this joint distribution have a density?
Show the sampling distribution of line over x where line over x is the sample mean annual cost of automobile insurance.
A group of 12 patients are given the medicine. If the claim is true, what is the probability that 8 have relief in a few minutes?
three fair regular eight-sided dice are rolled.a what is the probability that the sum of the die rolls is10?b what is
there is a 25 chance that a fuse of a certain type is defective. approximate the probability of having more than or
The joint cumulative distribution function for (X, Y) is given by F(x, y) = ( 1 - e-x/ID - e-y/l + e-lx+SyJ/I0)/10,001 (x)I10,oodY).
What sample size is need if the agency wants to be 90% confidence of being correct to within +/- 5 minutes? if 90% is desired, how many listeners need to be selected?
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If a weather center monitors and calculates the average number of tornadoes that pass through Topeka, Kansas each year, what type of variable would they investigating?
A random sample of 20 one-way fares during particular month had a mean of $210 with a standard deviation of $43. At 0.02, is there sufficient evidence to conclude a difference from the stated mean?
question the calculations for a factorial experiment involving four levels of factor a three levels of factor b and
At the 0.01 significance level is it reasonable to conclude that the modifaction reduced the number of traffic accidents?
In government data, a household consists of all occupants of a dwelling unit, while a family consists of two or more persons who live together and are related by blood or marriage. So all families form households, but some households are not famil..
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