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Question: Suppose we have a collection of m objects and a set P of p "properties," an undefined term, that the objects may or may not have. For each subset S of the set P of all properties, define Na(S) (a is for "at least") to be the number of objects in the collection that have at least the properties in S. Thus, for example, Na(∅) = m. In a typical application, formulas for Na(S) for other sets S ⊆ P are not difficult to figure out. Define Ne(S) to be the number of objects in our collection that have exactly the properties in S. Show that
Explain how this formula could be used for computing the number of onto functions in a more direct way than we did it using unions of sets. How would this formula apply to Problem in this section?
Problem: The boss asks the secretary to stuff n letters into envelopes forgetting to mention that he has been adding notes to the letters and in the process has rearranged the letters but not the envelopes. In how many ways can the letters be stuffed into the envelopes so that nobody gets the letter intended for him or her? What is the probability that nobody gets the letter intended for him or her?
you are estimating the manufacturing hours for an airframe based on the airframe weight. the airframe you are
Create an initial post in which you analyse key social and/or ethical issues, of your choosing, associated with social networking websites. Start by summarising your selected ethical/social issues, and explain why you think these issues are import..
Many shoppers have expressed unhappiness because grocery stores have stopped putting prices on individual grocery items. The article "The Impact of Item Price Removal on Grocery Shopping Behavior" (J. of Marketing, 1980: 73-93) reports on a study ..
Assume the reliability of a product is given by an exponential distribution with a mean of 1 year. How long would it take to achieve a 10% failure rate?
The probability that 0, 1, 2, 3 or 4 people will seek treatment for the flu during any given hour at any given emergency room is shown in the following distribution. What are the variance and standard deviation of X?
What is the relevance of this initial value problem to the Existence and Uniqueness Theorem for first order equations?
What is the probability that a randomly selected respondent plans to increase use of social media - What is the probability that both cards are heartshearts?
Find a 90% confidence interval for the difference in the proportion of people who prefer the stipulated product before and after the advertising campaign.
consider the following joint probability density function of the random variables x and y fxy 3x-y9 for 1ltxlt3 and
let y be a uniform random variable defined over the interval 02. find an expression for the rth moment of y about the
Begin by writing an interpretation of a low correlation and a high correlation. Then calculate an rs and choose the correct interpretation.
If a proposal evaluator randomly selected two proposals, what is the probability that both of them met the specified?
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