Among the 30 applicants for a position at a bank, 18 are married, of which 6 have some banking experience, and 21 with no banking experience. The branch manager randomly chooses an applicant to be interviewed. Which of the followings is more probable?
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Q: he Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time,…
A: xP(x)00.0000410.0008920.0078130.0390040.1217250.2431060.3034470.2164480.06754Explanation:Step 1:…
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- In a random sample of 1,000 people, it is found that 7% have a liver ailment. Of those who have a liver ailment, 40% are heavy drinkers, 50% are moderate drinkers, and 10% are nondrinkers. Of those who do not have a liver ailment, 10% are heavy drinkers, 70% are moderate drinkers, and 20% are nondrinkers. If a person is chosen at random and he or she is a heavy drinker, what is the probability of that person having a liver ailment? What is the probability for a nondrinker?A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results were as follows: 31 said they drove alone. 32 rode in a carpool. 28 rode public transportation. 4 used both carpools and public transportation. 5 used both a carpool and sometimes their own cars. 3 used buses as well as their own cars. 1 used all three methods. How many used none of the above-mentioned means of transportation?studentsA local television station sent out questionnaires to determine if viewers would rather see reruns of Supernatural, The Walking Dead, or Game of Thrones. There were 100 responses with the following results: 33 were interested in Supernatural 42 were interested in The Walking Dead 44 were interested in Game of Thrones 10 were interested in Supernatural and The Walking Dead 9 were interested in Supernatural and Game of Thrones 15 were interested in The Walking Dead and Game of Thrones 8 were interested in all three. a. Draw a Venn Diagram and label fully. b. How many viewers wanted to see reruns of Supernatural and Game of Thrones but not the Walking Dead?
- A friend of mine is giving a dinner party. His current wine supply includes 7 bottles of zinfandel, 11 of merlot, and 13 of cabernet (he only drinks red wine), all from different wineries. (a) If he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? (b) If 6 bottles of wine are to be randomly selected from the 31 for serving, how many ways are there to do this? (c) If 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? (d) If 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (Round your answer to three decimal places.) (e) If 6 bottles are randomly selected, what is the probability that all of them are the same variety? (Round your answer to three decimal places.)A Statistics instructor wishes to know the average age (in month) of his 200 students. He decides to choose 25 students from the class and ask them for their age. All 200 names are put in a hat and 25 names are then chosen at random (without replacement). The average age of the students chosen is observed to be 231 months. The group of 25 students is known as what?Consider a political discussion group consisting of 4 Democrats, 9 Republicans, and 6 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting two Democrats.
- The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 69.5% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick eight first-time, full-time freshmen from the survey. You are interested in the number that believes that same sex-couples should have the right to legal marital status. Let the random variable X= the number that reply "yes", X∼B(8,0.695). (a) Construct the probability distribution function (PDF).Assume that 12 jurors are randomly selected from a population in which 60% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities. Number of Mexican-Americans Probability 0 0 1 0.0003 2 0.0025 3 0.0125 4 0.042 5 0.1009 6 0.1766 7 0.227 8 0.2128 9 0.1419 10 0.0639 11 0.0174 12 0.0022 a) Find the probability of at most 4 Mexican-Americans among 12 jurors. Give answer as a decimal. b) Find the probability of more than 4 Mexican-Americans among 12 jurors. Give answer as a decimal.The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 71.3% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick eight first-time, full-time freshmen from the survey. You are interested in the number that believes that same sex-couples should have the right to legal marital status. What is the probability that at most five of the freshmen replies “yes"?
- Imagine you are a researcher interested in the effects of marijuana on beliefs in conspiracy theories. The study involves two groups, to which people are assigned by chance: Group A takes a pill that contains the active ingredient in cannabis, THC, while Group B are given a harmless placebo pill. Neither the people conducting the study nor the participants know who is getting the drug and who is not. After taking the pill and completing some filler tasks, participants are given a series of surveys to complete. One of these theories asks them to indicate the extent to which they believe in different conspiracy surveys (e.g., a secret group like the Illuminati controls the world, Obama was not born in the US & is secretly a Muslim, 9/11 was an inside job, the moon landing was faked).The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 71.2% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick six first-time, full-time freshmen from the survey. You are interested in the number that believes that same-sex couples should have the right to legal marital status.What is the probability that at least two of the freshmen reply "yes"? (Round your answer to four decimal places.)Five people, designated as A,AB,C,D,E are arranged in linear order. Assuming that each possible order is equally likely, what is the probability that there are exactly two people between A and B?