Given the new fad of health consciousness, a random sample of 400 college students was askedwhat their preferred type of drink was and whether they took regular or sugar free. The followingtable gives a two-way classification of the responses.RegularSugar freeTOTALSJuice21095305Iced Coffee752095TOTALS285115400(a) If one student is selected at random from these 400 students, find the probability that thisstudent(i) Prefers sugar free drinks(ii) Prefers juice(iii) Prefers regular juice(iv) Prefers juice given that it is a sugar free drink.(v) Prefers iced coffee or that drinks must be sugar free.(b) Are the events 'prefers juice' and 'prefers sugar free drinks' independent? Use probabilities tostate your answer.

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Answered: Given the new fad of health…

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...

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The histogram below gives the length of service of members of the Department of English at a particular university. The classes, in years of service, are 0−−4.9, 5−−9.9, etc., and the vertical axis represents the number of faculty. 1) What percent of the department faculty have less than 15 years of service? 2) If a member of the department is chosen at random to serve on a university committee, what is the probability (in decimal form) that the chosen representitive will have between 5 and 45 years of service? 3) What is the probability the representative above will have less than 20 years of service given that the person has less than 25 years of service?
The table lists the drinking habits of a group of college students. If a student is chosen at random, find the probability of getting someone who is women or a heavy drinker. Sex Non-Drinker Regular drinker Heavy Drinker Total Man 135 55 5 195 Woman 187 21 7 215 Total 322 76 12 410 Group of answer choices 0.932 0.151 0.537 0.815
Use the data in the following table, which lists survey results from high school drivers at least 16 years of age. Assume that subjects are randomly selected from those included in the table. Drove When Drinking Alcohol? No 3171 4430 Yes Texted While Driving 714 No Texting While Driving 172 If four different high school drivers are randomly selected, find the probability that they all drove when drinking alcohol. The probability that four randomly selected high school drivers all drove when drinking alcohol is (Round to six decimal places as needed.)
A marketing company has randomly surveyed 204 men who watch professional sports. The men were separated according to their educational level (college degree or not) and whether they preferred the NBA or the National Football League (NFL). The results of the survey are shown to the right. Complete parts a through d. Sports Preference NBA College Degree 36 No College O Degree 58 NFL 19 91 a. What is the probability that a randomly selected survey participant prefers the NFL? (Round to four decimal places as needed.) b. What is the probability that a randomly selected survey participant has a college degree and prefers the NBA? (Round to four decimal places as needed.) c. Suppose a survey participant is randomly selected and you are told that he has a college degree. What is the probability that this man prefers the NFL? (Round to four decimal places as needed.) d. Is a survey participant's preference for the NBA independent of having a college degree? No. The two events are not…
The table below shows the soft drinks preferences of people in three age groups. If one of the 255 subjects is randomly selected, find the probability that the person is over 40 and drinks cola. Cola Root beer Lemon-lime Under 21 yrs of age 40 25 20 Between 21 and 40 35 20 30 Over 40 yrs of age 20 30 35
What was the age distribution of nurses in Great Britain at the time of Florence Nightingale? Thanks to Florence Nightingale and the British census of 1851, we have the following information (based on data from classic text Notes on Nursing, by Florence Nightingale). Note: In 1851 there were 25,466 nurses in Great Britain. Furthermore, Nightingale made a strict distinction between nurses and domestic servants. Find the probability that a British nurse selected at random in 1851 would be 70 years of age or older. Round your answer to nearest thousandth.
The 2010 census found that 13.9% of adults in the United States identified themselves as being of Hispanic origin. An opinion poll plans to interview 1500 adults at random. Find the probability that such a sample will contain 12% or fewer individuals of Hispanic origin. a. 0.017 O b.0.015 Oc.0.983 O d.0.013
The National Longitudinal Study of Adolescent Health interviewed several thousand teens (grades 7 to 12). One question asked was “What do you think are the chances you will be married in the next 10 years?” Here is a two-way table of the responses by gender: Opinion Female Male Almost no chance 120 94 Some chance but probably not 156 178 A 50-50 chance 427 498 A good chance 750 700 Almost certain 1176 770 How many individuals are described in this table? How many females were among the respondents? The percent of females among the respondents was about %. Your percent from the previous exercise is part of the marginal distribution of opinion about marriage. the conditional distribution of sex among adolescents with a given opinion. the marginal distribution of sex. What percent of females thought that they were almost certain to be married in the next 10 years?% Your percent from the previous exercise is part of the conditional distribution of sex among…
A researcher wanted to study the commuting habits of community college students and faculty. He wanted to compare their mode of transportation to the college. He asked if they walk, bike, or drive to campus. The following table represents the data that was collected. Walks to campus Bikes to campus Drives to campus Total Students 70 22 78 170 Faculty 5 4 23 32 Total 75 26 101 202 A. Find the probability that a randomly selected member of faculty walks to campus. B. If you are randomly selecting a person from those who bike to campus, what is the probability that you will select a student. C. Perform a Test of Independence to determine if commuting habits are dependent on being a student or a faculty.
. A sample of 200 people was asked their favorite genre of music. Below are the results. Gender Rock Pop Hip-Hop Other Male 31 20 37 12 Female 17 30 19 34 If one of those people is randomly selected, find the probability that the person is a female or their favorite genre of music is Hip-hop. Round to three decimal places as needed. If one of those people is random selected, find the probability that the person’s favorite genre of music is Pop, given that the person is a male. Round to three decimal places as needed.
Last school year, the student body of a local university consisted of 20% freshmen, 21% sophomores, 29% juniors, and 30% seniors. A random sample of 300 students taken from this year's student body showed the following number of students in each class. Freshmen 84 Sophomores 65 Juniors 86 Seniors 65 We are interested in determining whether there has been a significant change in the distribution of class between the last school year and this school year.If the distribution is the same as the previous year, the expected number of freshmen is _____. a. 84 b. 87 c. 60 d. 20
The following table shows a recent study on the relationship between gender and preference for fried food: Likes Fried Food Does Not Like Fried Food TOTALS Male 220 180 400 Female 80 90 170 TOTALS 300 270 570 If a person is randomly selected and if that person is male what is the probability that he likes fried food and Evaluate whether gender and preference for fried food are independent in this case.

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