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Suppose we wish to estimate the probability,PA, of some event, A. We do so by repeating an experiment times and observing whether or not the event occurs during each experiment. In particular, let
(a) Assuming n is large enough so that the central limit theorem applies, find an expression for
(b) Suppose we want to be 95% certain that our estimate is within of the true value. That is, we want How large does need to be? In other words, how many time do we need to run the experiment?
(c) Let be the number of times that we observe the event during our repetitions of the experiment. That is Assuming that is chosen according to the results of part (b), find an expression for the average number of times the event is observed Show that for rare events is essential independent of PA . Thus, even if we have no idea about the true value of PA , we can run the experiment until we observe the event for a predetermined number of times and be assured of a certain degree of accuracy in our estimate of pA.
Give the expected value and standard deviation of defective shoes in the ShoeFit store order.
It is known that 20% of the children in a school are first graders. If the school is sending a group of 11 randomly selected children to camp, what is the probability that less than 4 of the campers are first graders in this binomial distribution?
a. Construct a simple tabulation in which the counts are according to the type of engine. b. Construct a cross-tabulation describing the fleet, using type of engine and type of transmission as the categorization variables. c. Construct a display s..
the mean gross annual incomes of certified welders are normally distributed with the mean of 20000 and a standard
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the average length of life of a brand of light bulb is 2000 hours with a population standard deviation of 120. a sample
The χ 2 statistic from a contingency table with 6 rows and five columns will have:
Historical tuition and fees. You can find data on past tuition and fees at several colleges by doing a Google search on "historical tuition and fees." Select one of the colleges you find and determine whether the data show the same pattern as you ..
Utilizing the 5% level of significance was there a significant change in cholesterol level. Elucidate your answer to someone who has never ever taken a course in statistics.
the following is a set of data for a population with n 10 7 5 11 8 3 6 2 1 9 8a. compute the population mean.b.
A marketing poll revealed that 45% of Americans say they that they have dinner regularly as a family. You randomly choose 10 American families and ask if they regularly have dinner together as a family.
an experiment can result in one or both of events a and b with the probabilities events a and b with the probabilities
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