AVERRÃ³I
discrete-structures

# At a call center company david rose and lea make

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At a call center company, David, Rose, and Lea make calls. The following table shows the percentage of calls each caller makes and the percentage of persons who are annoyed and hang up on each call. Caller David Rose Lea % calls 40 25 35 % hang ups 20 55 30

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PROBABILITY Let D – event “David made the call” R – event “Rose made the call” L – event “Lea made the call” H - event “the caller hang up” Find P(D), P(R), P(L), P(H|D), P(H|R), P(H| L), P(D|H), P(R|H), P(L|H), P(H).
PROBABILITY 2. The sample space S is described as “the integers 1 to 15” and is partitioned into: E1 – “the integers 1 to 8” E2 – “the integers 9 to 15” If E is the event “even number”, what is P(E1|E)? 3.Of all the smokers in a town, 40% prefer brand A and 60% prefer brand B. Of those smokers who prefer brand A, 30% are female, and of those who prefer brand B,

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Pigeonhole Principle Pigeonhole Principle (Dirichlet drawer principle) Suppose that a flock of pigeons flies into a set of pigeonholes to rest. The pigeonhole principle states that if there are more pigeons than pigeonholes, then there must be at least one pigeonhole with at least two pigeons in it. Theorem If k+1 or more objects are placed into k
Pigeonhole Principle Examples 1. Among any group of 367 people, there must be at least two with the same birthday. 2. In any group of 27 English words, there must be at least two that begin with the same letter. 3. How many students must be in a class to guarantee that at least two students receive the same score on the final exam, if the exam is graded on the scale from 0

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Pigeonhole Principle 4. Each week a man goes to a shopping center where there are seven stores, and shops at two of the stores. If he goes to the shopping center for 43 weeks, prove that he must shop at some pair of stores at least three times.
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• Winter '99
• AverrÃ³is
• Logic, logical structure

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