MAT 130 MODULE 3 CHECK YOUR UNDERSTANDING
1. Find the indicated probability. A die with 8 sides is rolled. What is the probability of rolling a number less than 7?
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2. Answer the question, considering an event to be "unusual" if its probability is less than or equal to 0.05. Assume that a study of 300 randomly selected school bus routes showed that 272 arrived on time. Is it "unusual" for a school bus to arrive late?
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3. Answer the question. What is the probability of an impossible event?
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4. Provide an appropriate response. In a game, you have a 1/33 probability of winning $121 and a 32/33 probability of losing $7. What is your expected value?
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5. Estimate the probability of the event. Of 1735 people who came into the blood bank to give blood, 373 people had high blood pressure. Estimate the probability that the next person who comes in to give blood will have high blood pressure.
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6. On a multiple choice test with 7 questions, each question has four possible answers, one of which is correct. For students who guess at all answers, find the standard deviation for the number of correct answers.
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7. Find the indicated complement. The probability that Luis will pass his statistics test is 0.59. Find the probability that he will fail his statistics test.
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8. Suppose you are playing a game of chance. If you bet $4 on a certain event, you will collected $172 (including your $4 bet) if you win. Find the odds used for determining the payoff.
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9. Find the indicated probability. Round to 3 decimal places. A car insurance company has determined that 9% of all drives were involved in a car accident last year. Among the 12 drives living on one particular street, 3 were involved in a car accident last year. If the 12 drives are randomly selected, what is the probability of getting 3 or more who were involved in a car accident last year?
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10. Find the indicated mean. The mean number of homicides per year in one city is 37.2. Suppose a Poisson distribution will be used to find the probability that on a given day there will be fewer than 4 homicides. Find the mean of the appropriate Poisson distribution (the mean number of homicides per day). Round your answer to four decimal places.
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11. The probability is 0.6 that a person shopping at a certain store will spend less than $20. For groups of size 19, find the mean number who spend less than $20.
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12. Answer the question. Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability of success on a single trial. n = 9, x = 2, p = 0.35
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13. Find the indicated probability. A study of consumer smoking habits includes 196 people in the 18-22 age bracket (43 of whom smoke), 148 people in the 23-30 age bracket (37 of whom smoke), and 96 people in the 31-40 age bracket (23 of whom smoke). If one person is randomly selected from this sample, find the probability of getting someone who is age 23-30 or smokes.
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14. If a person is randomly selected, find the probability that his or her birthday is in May. Ignore leap years.
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15. Solve the problem. According to a college survey, 22% of all students work full time. Find the standard deviation for the number of students who work full time in samples of size 16.
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