Suppose the fraction of undergraduate students who smoke is 15% and the fraction of graduate students who smoke is 23%. If one-fifth of the college students are graduate students and the rest are undergraduates, what is the probability that a student who smokes is a graduate student? b. Given the information in part (a), is a randomly chosen college student more likely to be a graduate or undergraduate student? c. Repeat part (b) assuming that the student is a smoker. d. Suppose 30% of the graduate students live in a dorm but only 10% of the undergraduate students live in a dorm. If a student smokes and lives in the dorm, is he or she more likely to be a graduate or undergraduate student? You can assume independence between students who live in a dorm and those who smoke. 7. Consider the data set shown in Table 4.9

Suppose the fraction of undergraduate students who smoke is 15% and the fraction of graduate students who smoke is 23%. If one-fifth of the college students are graduate students and the rest are undergraduates, what is the probability that a student who smokes is a graduate student? b. Given the information in part (a), is a randomly chosen college student more likely to be a graduate or undergraduate student? c. Repeat part (b) assuming that the student is a smoker. d. Suppose 30% of the graduate students live in a dorm but only 10% of the undergraduate students live in a dorm. If a student smokes and lives in the dorm, is he or she more likely to be a graduate or undergraduate student? You can assume independence between students who live in a dorm and those who smoke. 7. Consider the data set shown in Table 4.9

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Suppose 33.3% of high school students eat pizza and 42% drink soda. If 17.3% of high school students eat pizza and drink soda, what is the probability that a randomly chosen high student will either eat pizza, drink soda, or both?
A sociologist is analyzing Social Security data. The number of individuals in the sample is 5. The probability that an individual receives Social Security is 20%. What is the probability that exactly 3 of the 5 individuals receive Social Security? O 0.0512 O 0.0305 O 0.6125 O 0.1024
Suppose that we know 10 % of people do not like pizza. If you pick two people at random, what is the probability that the first one does not like pizza but the second one does like pizza? Give your answer as a decimal rounded to three decimal ploces. The probability is
Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxx
. Assume that 75 percent of the students at the university have taken 4 years of high school math. Of those with four years of high school math, 80 percent plan to major in science. Of those without 4 years, only 10 percent plan to major in science. You stop a student at random. If the student plans to major in science, what is the probability that this student had four years of high school math?
Suppose that 35% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?Give your answer as a decimal (to at least 3 places) or fraction
Based on past experience, the store manager estimates that the probability that any one customer will make a purchase is .30. What is the probability that two of the next three customers will make a purchase?
Assume that 50% of the students at the university have taken four years of high school math. Of those with four years of high school math, 60% plan to major in science. Of those without four years, Only 25% plan to major in science. You stop a student at random. If the student plans to major in science, what is the probability that the student had four years of high school math?
Of the cartons produced by a company, 10% have a puncture, 4% have a smashed corner, and 1.3% 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 (Type an integer or a decimal. Do not round.) %.
Suppose that 65% of people own dogs. If you pick two people at random, what is the probability that they both own a dog? Give your answer as a decimal (to at least 3 places) or fraction