9. In a school, three-quarters of students are involved insports, half are involved in cultural activities, and one-eighth are involved in neither. Calculate the probabilitythat a student is involved in(a) either sports or in cultural activities.(b) both sports and cultural activities.(c) cultural activities but not sports.

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Answered: 9. In a school, three-quarters of…

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 mayor conducted a survey of 1000 residents, where 486 are in favor of proposal 1, 372 in favor of proposal 2, and 134 in favor of both proposal 1 and 2. What's the probability that a resident isn't in favor of either proposal 1 or 2?
(TATTOOS MAY LOOK UGLY IN OLD AGE) Among 250 employees of a Tattoo Company, a total of 130 have tattoos. There are 150 males working for this company and 85 of the males have Tattoos while uwmit tattoos. Tattoo Artist v What is the probability that an employee selected at random: Is A. 0.78 a female? B. 0.6000 v What is the probability that an employee selected at random: c. 0.26 has a tattoo? D. 0.18 v What is the probability that an employee selected at random: Is a female and has a tattoo? v What is the probability that an employee selected at random: Is E. 0.4800 F. 0.40 a male and does not have tattoo? G. 0.66 v What is the probability that an employee selected at random: Is male or has a tattoo? v What is the probability that an employee selected at random: 1. 0.2200 Is a female or does not have a tattoo? v Assume we selected a female of the company, what is the conditional probability she has no tattoo? H. 0.52 I. 0.55 K. 0.5667 Assume we selected a male from the company, what…
A math class consists of 36 students, 17 females and 19 males. Two students are selected at random to participate in a probability experiment. Compute the probability that (a) a male is selected, then a female. (b) two males are selected. (c) two females are selected.
You have a box of chocolates that contains 22 pieces of which:9 are solid chocolate,7 are filled with cashews, and6 are filled with cherries.All the candies look exactly alike. You select a piece, eat it, select a second piece, eat it, and finally eat one last piece. (a) Find the probability of selecting a solid chocolate piece followed by two cherry-filled chocolates. (b) Find the probability of selecting a solid chocolate piece and two cherry-filled chocolates in any order.
11 Assume that the critic finds that 30 percent of the movies have positive comments about the plot, 55 percent have positive comments about the acting, and 35 percent were not given positive comments about either plot or acting. What is the probability that a randomly selected movie was given positive comments about both plot and acting?
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?
38% of U.S. adults say they are more likely to make purchases during a sales tax holiday. You randomly select 10 adults. Find the probability that the number of adults who say they are more likely to make purchases during a sales tax holiday is (a) exactly two, (b) more than two, and (c) between two and five, inclusive.
fifty-nine percent of U.S. adults think that civil rights for black americans have improved during their lifetime. you randomly select nine U.S. adults find the probability that the number who think that civil rights for black americans have improved during their lifetime is (a) exactly three and (b) exactly five a) The the probability that the number who think that civil rights for Black Americans have improved during their lifetime is exactly three

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