# The table below cross classifies 200 people by their

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Chapter 6 / Exercise 2
Mathematical Practices, Mathematics for Teachers: Activities, Models, and Real-Life Examples
Larson
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3.The table below cross-classifies 200 people by their incomes and whether or not they smoke.(a) What percentageof people smoke? (b)Among those with an income below \$50,000, what percentageof them smoke? (c)Among those with an income of at least\$50,000, what percentage are non-smokers(d) What percentageof smokers have an income of \$100,000 or less? (e)Are the two events, smokingandincome independent events? Prove using probability. You must use words or defined symbols in your proof. 4.A company submitted bids for two road construction jobs in Burnaby. The smaller of the two jobs is to repair a major city street and the larger job is to build a street in a new subdivision. The company’s president believes there is a 75% chance of winning the smaller job (which comes up first). If the company wins the smaller job, they believe they have a 40% chance of winning the larger job. On the other hand, if they do notwin the smaller job, they believe they have only a 20% chance of winning the larger job. (a)Set up a 2×2 probability table. (b)What is the probability of winning both jobs? (c)What is the probability of losing both jobs? (d)What is the probability of winning only one of the two jobs? (e)They end up winning the larger job. Find the probability they won the smaller job. 5.The operator of a water taxi on Salt Spring has determined that he receives an average of three calls per hour during the busy summer season. (a)What is the probability that he will get exactly four calls in an hour? (b)The operator decides to take a 40-minute meal break. What is the probability he will get least one call during his meal break? 6.A company needed to downsize a department having 25 people −10 women and 15 men. Seven people were laid off, and management said the layoffs were done randomly. Among the 7 laid off, 6 were women. A labour lawyer is interested in the probability of 6 or morewomen being laid off by chance alone. If the 7 people laid off were randomly chosen from among the 25, calculate the probability that 6 or morewomen would have been selected. Annual IncomeBelow \$50,000\$50,000 - \$100,000Above \$100,000TotalSmoker2210436Non-Smoker666236164Total887240200? atPg 6 of 7
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Chapter 6 / Exercise 2
Mathematical Practices, Mathematics for Teachers: Activities, Models, and Real-Life Examples
Larson
Expert Verified
OPMT 1130 Myra Andrews, Judy Li Business Statistics Winter 20177.You own a small country inn that has 9 rooms. Past experience has shown that approximately 20% of the reservations are so called “no-shows” – people who have made a reservation, but donot show up without cancelling. In the summer you are fully booked so you are considering overbooking and accepting 10 reservations so you don’t end up with empty rooms when peopledon’t show up. If everyone shows up you will place a guest in a nearby hotel and give them a credit for a future stay. Suppose you accept 10 reservations:(a)What is the probability that you will nothave enough rooms? (b) What is the probability you will have at least one empty room (i.e. the inn is notfull)? 8.Post Cereal has a machine that fills the cereal boxes. Boxes are labelled “16 oz” so they want to