upposed that in a senior college class of 500 students it is found that 210 smokes, 258 drink alcoholic beverages, 216 eat between meals, 122 smokes and drink alcoholic beverages, 83 eat between meals and drink alcoholic beverages, 97 smokes and eat between meals, and 52 engage in all three bad health practices. Hint: Draw Venn diagram to visually organize the given information a. If a member of this senior class is selected at random, find the probability that the student smoke but does not drink alcoholic beverages b. What is probability that the student eats between meals and drinks alcoholic beverages but does not smoke? c. What is the probability that the student neither smokes nor eats between meals?

upposed that in a senior college class of 500 students it is found that 210 smokes, 258 drink alcoholic beverages, 216 eat between meals, 122 smokes and drink alcoholic beverages, 83 eat between meals and drink alcoholic beverages, 97 smokes and eat between meals, and 52 engage in all three bad health practices. Hint: Draw Venn diagram to visually organize the given information a. If a member of this senior class is selected at random, find the probability that the student smoke but does not drink alcoholic beverages b. What is probability that the student eats between meals and drinks alcoholic beverages but does not smoke? c. What is the probability that the student neither smokes nor eats between meals?

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

10.
5. In a survey conducted by the Athletics Department of a certain school, student-respondents were asked: "What is your favorite sport to watch?" Basketball and volleyball ranked number 1 and 2 in terms of preference. Assume that in a group of 10 students, seven prefer basketball and three prefer volleyball. A random sample of three of the students is selected. a. What is the probability that exactly two prefer basketball? b. What is the probability that the majority (either 2 or 3) prefer basketball?
17. 25 athletes are participating in jumping competition. They are of different nationality: 8 from Argentina 6 from Brasil 5 from Paraguay 6 from Uruguay To determine an order in which athletes participate, lot is drawn. Find out the probability that last athlete to participate is from Argentina.
You are given a two dice with 4 sides each, with equal probability of landong on all sides. Dice one has values 1 - 4 and the second has values 5-8. The low-valued die (dice one) is rolled first. If you get a 1 or 2, then you roll the high-valued die (dice 2). If you get 3 or 4, you roll the low-valued die. X= value of the 1st roll Y = value of the 2nd roll Z = X + Y %3D Find H(X), H(Y), H(Z) Find H(Y|X) Find H(X,Y), H(XIҮ) Find I (X;Y)
13.Imagine a population of balls in which all are red except for three green ones. If we randomly sample two balls, without replacement, and the probability of getting green both times is p=0.025, which of the following is the number of red balls in the population?
1. A employee engagement committee of four will be formed from among 20 individuals at your workplace. Approximately what is the probability you and your friend will both be selected to be on the committee? 2. American Airlines conducted a survey of 350 randomly selected passengers with a goal of understanding car rental preferences. The following partially completed Venn Diagram represents the count of individuals that had rented from Budget, Enterprise, Avis, or none of these at some point in the last three years. 59 10 A 62 N X 82 a. What is the probability that someone has rented from both Budget and Enterprise at some point in the last three years? b. Assume that the probability that a passenger rented from Budget at some point in the last three years is 34%. i. Find the value of "y" in the Venn Diagram. ii. Using your results from the previous question, find the probability that someone has rented from Avis, given that they have rented from Budget.
In the table below, the distribution of employees in a business according to their gender and whether they are university graduates is given. QI Gender College graduate Not college graduate Total Male Female 7 20 27 4 9. 13 Total 11 29 40 If one of the employees is randomly selected for the worker management council, what is the probability that the chosen one is a woman and a University (College) graduate? Solve this problem using the Venn diagram. a.Solve the problem using a tree diagram (flowchart). b. Construct the second solution with Venn diagram. c. Similarly, when the events "Male (M) and “Not graduated from university (N) are also taken into account, calculate the following probabilities using the table. P(Mn G), P(Mn N), P(F ON). (Note: For solution (F) for female, for university graduate(G) "Female (F) and "University graduate(G), not university graduate (N), Male (M) events will be recognized, and using other symbols will not be considered valid for the solution.
1.1 175 random people were surveyed at an amusement park and asked if they ride roller coasters and if they play games while at the park. 91 of those surveyed ride roller coasters. 126 of those surveyed play games. 56 of those surveyed ride roller coasters and play games. a) Construct a Venn diagram illustrating the probability distribution of the outcomes. b) What is the probability a person at the amusement park does not ride roller coasters nor does he/she play games?
8.