quiz 3 stats

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University of Central Florida *

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2023

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Statistics

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Feb 20, 2024

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Uploaded by BaronCheetahPerson625

A study of 1000 randomly selected flights of a major airline showed that 876 of the flights arrived on time. What is the probability of a flight arriving on time? 31 250 250 - 219 The distribution of blood types for 100 Americans is listed in the table. If one donor is selected at random, find the probability of selecting a person with blood type A +. Blood Type| O+ O- A+ A- B+ B- AB+ AB- Number| 37 6 34 6 10 2 4 1 0.68 Yoo o034 0.4 0.45 Use the fundamental counting principle to solve the problem. How many license plates can be made consisting of 3 letters followed by 2 digits? 11,881,376 ¥ 1,757,600 175,760 100,000 A group of students were asked if they carry a credit card. The responses are listed in the table. Class | Credit Card Carrier | Not a Credit Card Carrier | Total Freshman 30 30 60 Sophomore 9 31 40 Total 39 61 100 If a student is selected at random, find the probability that he or she is a sophomore given that the student owns a credit card. Round your ¥ 0.231 0.769 0.975 0.090

A certain lottery has 38 numbers. In how many different ways can 4 of the numbers be selected? (Assume that order of selection is not important.) There are 73815 different ways the numbers can be selected. (Simplify your answer.) The table lists the smoking habits of a group of college students. Sex | Non-smoker | Regular Smoker | Heavy Smoker | Total Man 135 41 5 181 Woman 187 21 11 219 Total 322 62 16 400 YA 1 0.805 0.195 0.920 Decide if the events A and B are mutually exclusive or not mutually exclusive. A student is selected at random. A: The student is taking a math course. B: The student is a business major. ¥ not mutually exclusive mutually exclusive Explain how the complement can be used to find the probability of getting at least one item of a particular type. Choose the correct answer below. The complement of "at least one" is "all." So, the probability of getting at least one item is equal to 1 — P(all items). The complement of "at least one" is "none." So, the probability of getting at least one item is equal to P(none of the items) - 1. The complement of "at least one" is "all." So, the probability of getting at least one item is equal to P(all items) - 1. The complement of "at least one" is "none." So, the probability of getting at least one item is equal to 1 - P(none of the items).

10. Of the cartons produced by a company, 7% have a puncture, 9% have a smashed corner, and 0.6% have both a puncture and a smashed corner. Find the probability that a randomly selected carton has a puncture or a smashed corner. The probability that a randomly selected carton has a puncture or a smashed corner 15.4 %. (Type an integer or a decimal. Do not round.) In a recent year, about 39% of all infants born in a country were conceived through in-vitro fertilization (IVF). Of the IVF deliveries, about twenty-five percent resulted in multiple births. (a) Find the probability that a randomly selected infant was conceived through IVF and was part of a multiple birth. (b) Find the probability that a randomly selected infant conceived through IVF was not part of a multiple birth. (c) Would it be unusual for a randomly selected infant to have been conceived through IVF and to have been part of a multiple birth? Explain. (a) The probability that a randomly selected infant was conceived through IVF and was part of a multiple birth is .098 . (Round to the nearest thousandth as needed.) (b) The probability that a randomly selected infant conceived through IVF was not part of a multiple birth is 0.750 . (Round to the nearest thousandth as needed.) (c) Would it be unusual for a randomly selected IVF cycle to result in a pregnancy and produce a multiple birth? Explain. Choose the correct answer below. (c) Would it be unusual for a randomly selected IVF cycle to result in a pregnancy and produce a multiple birth? Explain. Choose the correct answer below. . Yes, this is unusual because the probability is less than or equal to 0.05. ¥ . No, this is not unusual because the probability is not less than or equal to 0.05. No, this is not unusual because the probability is less than or equal to 0.05. Yes, this is unusual because the probability is not less than or equal to 0.05.

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