1. The probability that the head of a household is home when a telemarketing representative calls is 0.4. Given that the head of the house is home, the probability that goods will be bought from the company is 0.3. Find the probability that the head of the house is home and goods are bought from the company.
1. The probability that the head of a household is home when a telemarketing representative calls is 0.4. Given that the head of the house is home, the probability that goods will be bought from the company is 0.3. Find the probability that the head of the house is home and goods are bought from the company.
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...
Related questions
Question
100%
Counting Rules in Probability
Transcribed Image Text:1. The probability that the head of a household is home when a telemarketing representative
calls is 0.4. Given that the head of the house is home, the probability that goods will be bought
from the company is 0.3. Find the probability that the head of the house is home and goods
are bought from the company.
2. In an experiment to study the relationship of hypertension and smoking habits, the following
data are collected for 180 individuals:
Nonsmokers
Moderate Smokers
Heavy Smokers
Hypertension
21
36
30
Nonhvpertension
48
26
19
If one of these individuals is selected at random, find the probability that the person is,
(a) Experiencing hypertension, given that the person is a heavy smoker;
(b) A nonsmoker, given that the person is experiencing no hypertension.
3. A pair of fair dice is tossed. Find the probability of getting
(a) A total of 8
(b) At most a total of 5
4. In a high school graduating class of 100 students, 54 studied mathematics, 68 studied history,
and 36 studied both mathematics and history. If one of these students is selected at random,
find the probability that
(a) The student took mathematics or history;
(b) The student did not take either of these subjects;
(c) The student took history but not mathematics.
5. In how many ways can 3 oaks, 4 pines, and 2 maples be arranged along a property line if
one does not distinguish among trees of the same kind?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON