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1. * (Logic). Eight pawns are placed on eight random squares on a chess board. What is the probability that no two pawns are in the same row or the same column?
2. Which is more likely:
(a) obtaining at least one six in six rolls of a fair die or
(b) obtaining at least one double six in six rolls of a pair of fair dice?
Remark. This question was posed to Isaac Newton and has some history associated with it.
2. * (Coincidence). Suppose each of n sticks are broken into two pieces, one longer than the other. Then the 2n pieces are paired up to make n new sticks. Find the probabilities that the pieces are all paired up in their original order and that each long piece is paired up with some short piece. (There are two events in this problem.)
The average cost for service provided per person per day is random variable with normal distribution of N$ 100 and a standard deviation of N$ 22. What is the probability that the cost will be at least N$ 127 per day per person.
Construct upper and lower control limits for the x chart, using the given product parameters. (b) Plot the data on the control chart. (c) Is this process in control? Explain your reasoning.
a metropolitan school system consists of three school districts-norths south central. the north district contains 25 of
let x be a random variable that represents the number of students who are absent on a given day from a class of 25. the
an experimenter has prepared a drug dosge level that she claims will induce sleep for 80 of the people suffering from
What is a Wilcoxon-Whitney Test and when is it used? I am not sure when to use the Wilcoxon-Whitney Test and what it is testing.
Provide an overview of the problem you identified. What are some research components that could be measured in order to address the research question or hypothesis you identified? How might a researcher obtain that information?
Develop mathematical functions that compute the annual ordering cost and annual holding cost based on average inventory held throughout the year in order to arrive at a model for total cost.
a study of peach trees found that the average number of peaches per tree was 825. the standard deviation of the
In 280 trials with a professional touch therapist, correct responses to a question were obtained 1223 times. The P-value of 0.979 is obtained when testing the claim that p > 0.5 (the proportion of correct responses is greater than the proportion o..
the citizens of a certain community were asked to choose their favorite pet. the pie chart below shows the distribution
the purchasing department of major company has 100 employees 22 of whom have no children 50 of whom have exactly one
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