2. A ticket for a 50-50 raffle (where the winner gets 50% to the money collected
ID: 2980465 • Letter: 2
Question
2. A ticket for a 50-50 raffle (where the winner gets 50% to the money collected) costs $1. If 500 tickets are sold (so the winner gets $250), what is the expected value to someone who buys a ticket? 3. A student completed an 8 question multiple choice test by making random choices for each question. Each question had 3 possible choices, only one of which is correct. Use the binomial probability formula to find the probability that exactly 2 of the 8 questions are answered correctly using this method. 4. A survey shows that 18.7% of all doctors are surgeons. If 10 doctors are selected at random, find the probability that exactly 3 of them are surgeons. (Use the binomial probability formula.) 5. A survey shows that 81.9% of adults have a cell phone. If 7 adults are selected at random, find the probability that exactly 6 have a cell phone. (Use the binomial probability formula.) For questions 6 and 7 you may use Table A-1 in the book. 6. A study shows that 70% of households in a certain town recycle plastic bottles. a) If 12 households are surveyed, find the probability that exactly 10 recycle plastic bottles. b) If 12 households are surveyed, find the probability that at least 10 recycle plastic bottles. c) If 12 households are surveyed, find the probability that at most 10 recycle plastic bottles 7. A study shows that 10% of people commute more than 50 miles to work. a) If 5 people are surveyed, find the probability that at least 1 of them commute more than 50 miles to work. b) If 5 people are surveyed, find the probability that at most 1 of them commute more than 50 miles to work. c) If 175 people are surveyed, find the mean and the standard deviation for the number of people that commute more than 50 miles to work. d) Would if be unusual if a survey of 175 people households found that 30 people commute more than 50 miles to work (and tell me why it would be unusual or not unusual)? 8. A study shows that 73.1% of houses for sale have at least two bathrooms. a) For a randomly selected group of 125 houses for sale, find the mean and standard deviation for the number of houses that have at least two bathrooms. b) Would it be unusual if a survey of 125 houses for sale found that 100 have at least two bathrooms (and tell me why it would be unusual or not unusual)? 9. Over the course of a 12 week period, there were 22 accidents at a certain intersection. Use the Poisson distribution to Find the expected number of accidents per week at that intersection. Find the probability that the number of accidents at that intersection in a random week is: a) 4 b) at least 1Explanation / Answer
FOLLOW THIS Assuming each ticket has an equal chance of winning the value of 1 ticket will be the value of the prize divided by the number of tickets 0 so $350 dollars / 1000 = 35 cents
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