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Probability of Crime Victims in Apartment Building

Learn how to calculate the probability that a certain percentage of apartment residents will be crime victims using sampling distributions for proportions.

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Probability of Crime Victims in Apartment Building

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  1. Chapter 7: Introduction to Sampling Distributions Section 3: Sampling Distributions for Proportions

  2. Binomial Experiment • n = number of trials • r = number of successes • p = probability of success • q = 1 – p

  3. Continuity Correction for intervals • for right endpoint, add to • for left endpoint, subtract from

  4. Example • The annual crime rate in the Capital Hill neighborhood of Denver is 111 per 1000 residents. (This means that 111 out of 1000 residents have been the victim of at least one crime, ranging from relatively minor to major crimes.) Suppose an apartment building in the neighborhood has 50 residents. What is the probability that between 10% and 20% of the apartment residents will be victims of a crime next year?

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