probabaility help question plz

Status
Not open for further replies.
E

ehsanelahimirza

Full Member level 6
Joined
Feb 24, 2006
Messages
334
Helped
28
Reputation
56
Reaction score
7
Trophy points
1,298
Activity points
3,570
hi all

i have a question of probability plz help

In a certain region of country it is known from past experience that the probability of selecting an adult over 40 years of age with cancer is 0.05. If the probability of doctor correctly dignosing a person with cancer as having the disease is 0.78 and the probability of incorrectly diagnosing a person without cancer as having the disease is 0.06,what is the probability that a person is diagnosed as having cancer

plz give me its solution

answer is 0.0960 but i cant solve it plz help
 

Lt´s set up the problem:

P(D) = ??? Wanted value
P(C) = 0.05
P(NC) = 0.95
P(D/C) = 0.78
P(D/NC)=0.06

Applying total probability theorem:

P(D) =P(D/C)*P(C) + P(D/NC)*P(NC)

P(D) = 0.78*0.05 + 0.06*0.95 = 0.096

Good luck
 
Status
Not open for further replies.

Similar threads

Menu
Log in
Register
Cookies are required to use this site. You must accept them to continue using the site. Learn more…