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?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 33E: Find the probability of each event. Drawing 5 orange cubes from a bowl containing 5 orange cubes and...
icon
Related questions
Question
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?
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?
Transcribed Image Text: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? 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?
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.
TOTAL
No. of Females
No. of Males
Construct a probability tree to indicate the various possible outcomes
and their probabilities (as fractions).
What is the probability that the two selected marbles will be the same
colour?
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
100
65
165
Samsung
110
115
225
Vivo
40
20
60
TOTAL
250
200
450
What is the probability of randomly selecting a respondent from the
sample who prefers Vivo?
What is the probability of randomly selecting a respondent from the
sample who is not female?
What is the probability of randomly selecting a respondent who is
female and prefers Samsung?
What is the probability of selecting a respondent who is male, given that
they prefer Apple?
Transcribed Image Text: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. TOTAL No. of Females No. of Males Construct a probability tree to indicate the various possible outcomes and their probabilities (as fractions). What is the probability that the two selected marbles will be the same colour? 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 100 65 165 Samsung 110 115 225 Vivo 40 20 60 TOTAL 250 200 450 What is the probability of randomly selecting a respondent from the sample who prefers Vivo? What is the probability of randomly selecting a respondent from the sample who is not female? What is the probability of randomly selecting a respondent who is female and prefers Samsung? What is the probability of selecting a respondent who is male, given that they prefer Apple?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL