Solution Found!
Refer to Exercise 62, but assume there are 10 homes in the
Chapter 5, Problem 57E(choose chapter or problem)
Refer to Exercise 62, but assume there are 10 homes in the Quail Creek area and four of them have a security system. Three homes are selected at random:
a. What is the probability all three of the selected homes have a security system?
b. What is the probability none of the three selected homes have a security system?
c. What is the probability at least one of the selected homes has a security system?
d. Did you assume the events to be dependent or independent?
Questions & Answers
QUESTION:
Refer to Exercise 62, but assume there are 10 homes in the Quail Creek area and four of them have a security system. Three homes are selected at random:
a. What is the probability all three of the selected homes have a security system?
b. What is the probability none of the three selected homes have a security system?
c. What is the probability at least one of the selected homes has a security system?
d. Did you assume the events to be dependent or independent?
ANSWER:Solution
Step 1 of 4
Given that there are 10 homes in quail creek area
Out of 20 homes 4 homes having security system
Out of 20 homes 3 homes are selected at random
a) We have to find the probability that all the selected 3 homes having security system
Now P( 3 homes having security)=
=1/30
=0.0333
Hence the probability of all the selected 3 homes having security system is 0.0333