Q.2.1 A bag contains 9 green and 11 blue marbles. You are asked to select two marbles from the bag. The first marble selected will not be placed back into the bag. Q.2.1.1 Construct a probability tree to indicate the various possible outcomes and their probabilities (as fractions). (7) Q.2.1.2 What is the probability that the two selected marbles will be the same colour? (3) Q.2.2 The following contingency table gives the results of a sample survey of South African male and female respondents with regard to their preferred brand of cellphone: PREFERRED BRAND OF CELLPHONE Apple Samsung Vivo TOTAL No. of Females 100 110 40 250 No. of Males 65 115 20 200 TOTAL 165 225 60 450 Q.2.2.1 What is the probability of randomly selecting a respondent from the sample who prefers Vivo? (2) Q.2.2.2 What is the probability of randomly selecting a respondent from the sample who is not female? (4) Q.2.2.3 What is the probability of randomly selecting a respondent who is female and prefers Samsung? (2) Q.2.2.4 What is the probability of selecting a respondent who is male, given that they prefer Apple? (2) Q.2.3 The probability that a randomly selected employee of Company Y is female is 0.60. The probability that an employee of the same company works in the Marketing department, given that the employee is female, is 0.20. What is the probability that a randomly selected employee of the company will be female and will work in the Marketing department? (5) Q.2.4 There are thirteen (13) teams participating in a general knowledge competition. What is the probability of correctly predicting the top four teams at the end of the competition, in the correct order? (5)

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

Related questions

Question

Q.2.1 A bag contains 9 green and 11 blue marbles. You are asked to select two marbles from the bag. The first marble selected will not be placed back into the bag. Q.2.1.1 Construct a probability tree to indicate the various possible outcomes and their probabilities (as fractions). (7) Q.2.1.2 What is the probability that the two selected marbles will be the same colour? (3) Q.2.2 The following contingency table gives the results of a sample survey of South African male and female respondents with regard to their preferred brand of cellphone: PREFERRED BRAND OF CELLPHONE Apple Samsung Vivo TOTAL No. of Females 100 110 40 250 No. of Males 65 115 20 200 TOTAL 165 225 60 450 Q.2.2.1 What is the probability of randomly selecting a respondent from the sample who prefers Vivo? (2) Q.2.2.2 What is the probability of randomly selecting a respondent from the sample who is not female? (4) Q.2.2.3 What is the probability of randomly selecting a respondent who is female and prefers Samsung? (2) Q.2.2.4 What is the probability of selecting a respondent who is male, given that they prefer Apple? (2) Q.2.3 The probability that a randomly selected employee of Company Y is female is 0.60. The probability that an employee of the same company works in the Marketing department, given that the employee is female, is 0.20. What is the probability that a randomly selected employee of the company will be female and will work in the Marketing department? (5) Q.2.4 There are thirteen (13) teams participating in a general knowledge competition. What is the probability of correctly predicting the top four teams at the end of the competition, in the correct order? (5).

Expert Solution

Step by step

Solved in 4 steps with 2 images

SEE SOLUTION Check out a sample Q&A here