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Question: At a fancy restaurant n students check their backpacks. They are the only ones to check backpacks. A child visits the checkroom and plays with the check tickets for the backpacks so they are all mixed up. If there are 5 students named Judy, Sam, Pat, Jill, and Jo, in how many ways may the backpacks be returned so that Judy gets her own backpack (and maybe some other students do, too)? What is the probability that this happens? What is the probability that Sam gets his backpack (and maybe some other students do, too)? What is the probability that Judy and Sam both get their own backpacks (and maybe some other students do, too)? For any particular two element set of students, what is the probability that these two students get their own backpacks (and maybe some other students do, too)? What is the probability that at least one student gets his or her own backpack? What is the probability that no students get their own backpacks? What do you expect the answer will be for the last two questions for n students? This classic problem is often stated using hats rather than backpacks (quaint, isn't it?), so it is called the hatcheck problem. It is also known as the derangement problem; a derangement of a set being a one-to-one function from a set onto itself (i.e., a bijection) that sends each element to something not equal to it.
question a process for the manufacture of penicillin was studied. there were five variants of the basic process being
Suppose now that your company has decided to value each hit at 1 cent. You are being offered a contract for an initial ten weeks of advertising space at $2,000 per week. Using your regression model, can you prove that buying the advertising would ..
Find the cumulative distribution function of X.- What is the probability that either four or five orders will arrive in a given week?
a life insurance salesperson claims the average worker in hobart has no more than 25 000 of personal life insurance. to
Does recalling a traumatic dental experience increase your level of anxiety at the dentist's office? In a study published in Psychological Reports (August 1997), researchers at Wittenberg University randomly assigned 74 undergraduate psychology st..
Which component of a time series is most likely to occur? Which component has a pattern that must be complete in a single year and repeat from year to year?
The following data resulted from a taste test of two different chocolate bars. The first number is a rating of the taste, which could range from 0 to 5, with a 5 indicating the person liked the taste.
Consider the variable "type of birth control practiced" (e.g. IUD, condoms, none, etc.O) Which measure of variability is best suited to describe variation of this variable?
Impact of Eastern European Growth The managers of Loyola Corp. recently had a meeting to discuss new opportunities in Europe as a result of the recent integration among Eastern European countries.
Standard deviation of the ages is 6 years. How large a sample should be taken so that the estimate is within 2 years of the population mean?
suppose that you are in a class of 33 students and it is assumed that approximately 15 of the population is
The agency also feels that the interaction effects A × C, A × B, and B × C are important. Show an experimental design that can estimate these effects using a minimal number of experiments.
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