A local high school has both male and female students.Each student either plays a sport or doesn't.The two-way table summarizes a random sample of 80 students.No sportSportFemale1236Let sport be the event that a randomly chosen student (from the table) plays a sport.Let female be the event that a randomly chosen student (from the table) is female.Find the following probabilities. Write your answers as decimals.(a) P(female) =(b) P(sport and female) =(c) P(sport | female) =I Don't KnowXSubmitMale1517S

FemaleMaleTotalNo sport121527Sport361753483280

Answered: A local high school has both male and…

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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A researcher collected data on adult alcohol consumption and marital status. She reported the number of adults in each category. 1- 60 drinks More than 60 drinks O drinks per month Total per month per month Single 20 100 30 150 Married 100 400 150 650 Widowed 10 25 15 50 Divorced 20 80 50 150 Total 150 605 245 1000 An adult is randomly selected from the study. Use this information to find the probabilities requested. Find the following probabilities as fractions. Don't simplify your results. a) What is the probability that a person drinks 1 - 60 drinks per month given that they are divorced? b) What is the probability that a person is divorced given that they drink 1 - 60 drinks per month? c) What is the probability that a person is single given that they have more than 60 drinks per month? d) What is the probability that a person has more than 60 drinks per month given that they are a widow?
20% of teenagers in a small town say they like reading news online. Suppose you randomly select 7 teenagers from the town and ask them whether or not they enjoy reading news online. Find the probability that at least 3 say they enjoy reading news online.
There are four horses named An, Bob, Cat, and Don. They are in a race where no ties are possible. Ann is twice as likely to win as Cat. Cat is twice as likely to win as Dan. Bob has a 30% chance of winning. What is the probability that Ann wins? 20% 30% 40% 50% 60% 70% 80% 90%
A bag contains 8 red marbles, 6 white marbles, and 6 blue marbles. You draw 4 marbles out at random, without replacement. Find the following probabilities and round to 4 decimal places. a. The probability that all the marbles are red is
In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that a student chosen randomly from the class does not have a cat or a dog? Has a dog Does not have a dog Has a cat 9 6 Does not have a cat 2 11
5B. John packs four t shirts for a trip to the beach. If he owns nine t shirts, four of which are black, and he randomly picks which four to pack, what is the probability that he packs the four black ones?
Attorneys often use lie detectors to test if a suspect is speaking the truth or not. It is found that the lie detector gives a positive result 64% of the time. The suspect is found to lie for 81% of the positive results and 15% of the negative results. a. If a suspect is actually lying, what is the probability that the lie detector gives a positive test result? b. If the suspect is not lying, what is the probability that the lie detector gives a negative result? Note:Answer in exact fraction, or rounded to at least 4 decimal places
46% of an insurance agents clients have life insurance, 40% have auto insurance and 28% have both policies. Why is the probability that a randomly selected client has life insurance or auto insurance? write the answer in decimal form.
Tom has a standard set of pool balls. If he were to draw one ball at random, what is the probability that it will be red or yellow? Give your answer in its simplest form.
27% of all college students major in STEM (Science, Technology, Engineering, and Math). If 34 college students are randomly selected, find the probability that exactly 10 of them major in STEM.
Approximately 20% of all Americans smoke. Suppose two Americans are selected at random. What is the probability that both Americans are smokers?
At a local company, 15% of the employees are women. Every day, 7% of the women bring their lunch to work, while only 3% of the men bring lunch. Find the probability that a randomly selected employee is a woman given that the person brings their lunch to work. A. 0.150 B. 0.011 C. 0.708 D. 0.292 E. 0.070

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