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Unformatted text preview: Problem Solutions for Required Homework #7 from Chapter 5, Sections 5.4 & 5.5 Required homework: Problems 56, 57, 62, and 63 from the “Supplementary Exercises” on page 219 to 220. 56. What kind of problem is this? Your choices are either binomial or Poisson. Commuters either take more than one hour for their one way commute to work or they don’t One or the other, can’t be both, and no third choice. So this is success vs. failure problem. For all parts of this problem, the “success” is taking more than one hour to commute to work. (Looking at what is asked in the questions.) So this is a binomial problem, because either commuters spend an hour or more to commute to work or they don’t. For all parts of this problem, the “success” is a commuter who reports spending more than one hour in a one-way door-to-door commute from home to work. Def: Let X be the r.v. that counts the number of commuters in a sample of 20 commuters who report spending more than one hour for their one-way commute from home to work. Given: n = 20 for parts a and b n = 2000 for parts c and p= 0.05, from 2 nd sentence of paragraph. (Note: p = 0.05 because it is stated that 5% of all commuters reported a one- way commute of more than one hour.) Probabilities are calculated as binomial probabilities using the equation:...
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- Spring '08
- Probability theory, PROB, Req HW