A market research firm conducted the following survey:

Question

) market research firm conducted the following survey:
Marital Status
Married Single
Plan to buy a car next year? Yes 40 170
No 410 380
If someone was randomly chosen from this group find
a. the probability that the person answered no.
b. the probability that the person is married and answered yes.
c. the probability that the person is single given that we already know the person
answered no.

Answer 1

Total number of survey results = 1000

 

a. Probability that the person answered NO = (410+380)/1000 = 0.79

b. probability that the person is married and answered Yes = 40/1000 = .04

c the probability that the person is single given that we already know the person answered No = 380/(380+410) =0.481