Question

According to the Consumer Electronics Manufacturers Association, 10% of all U.S. households have a fax machine and 52% have a personal computer. Suppose 91% of all U.S. households having a fax machine have a personal computer. A U.S. household is randomly selected.
a) a. What is the probability that the household has a fax machine and a personal computer?

b) What is the probability that the household has a fax machine or a personal computer?

Answer 1

According to the Consumer Electronics Manufacturers Association, 10% of all U.S. households have a fax machine and 52% have a personal computer. Suppose 91% of all U.S. households having a fax machine have a personal computer. A U.S. household is randomly selected.

a. What is the probability that the household has a fax machine and a personal computer?

p =

b. What is the probability that the household has a fax machine or a personal computer?

p =

c.What is the probability that the household has a fax machine and does not have a personal computer?

p =

d. What is the probability that the household has neither a fax machine nor a personal computer?

p =

e. What is the probability that the household does not have a fax machine and does have a personal computer?

p =

Round the answers to 3 decimal places.

The tolerance is +/- 0.005

I don't want to do your entire homework for you, but this should make it easy:
Pfax=0.1, Pnofax=0.9
Pcomp=0.52, Pnocomp=0.48
Pcomp|fax=0.91,Pnocomp|fax=.09

Now the strategy to solve this:
First devide between fax and nofax
then in the cases fax=0 devide with Pcomp|nofax and Pnocomp|nofax, otherwise devide with Pcomp|fax and Pnocomp|fax

Given Pfax and Pcomp|fax and Pcomp you can calculate Pcomp|nofax