Posted by sha on Tuesday, July 27, 2010 at 12:12pm.
if E and F are independent events, find P(F) if P(E)=0.2 and P(E U F)= 0.3
- math - Reiny, Tuesday, July 27, 2010 at 12:18pm
If F and E are independent events then P(E and F) = 0
and we also know
P(E or F) = P(E) + P(F) - P(E and F)
.3 = .2 + P(F) - 0
P(F) = .1
- math - David, Tuesday, July 27, 2010 at 2:49pm
Let P(F)= X
since E and F are independent eveents,
P(EnF)= P(E)* P(F)
therefore, P(EnF)= 0.2X
but P(EuF)=P(E)+ P(F)- P(EnF)
0.3= 0.2 + x - 0.2x
x = 1/8
- math - David, Tuesday, July 27, 2010 at 2:56pm
sorry, i made a mistake, for mutually exculsive events, P(EnF)= 0, hence,
from the previous equation,
so P(F)= 0.1
Answer this Question
More Related Questions
- stats - you are given the probabilities listed below P(A)= 0.25, P(B) = 0.30, P(...
- Math - In exercises 1 and 2, use the following information. You randomly draw ...
- Probability - Show that if events A B and C are independent that the following ...
- math - You randomly draw letter tiles from a bag containing the letters from the...
- statistics - For two events, C and D, P(C)=.16 and P(D)=.18 If C and D are ...
- probability & statistics - Q: if A and B are independent events, how many of the...
- Math - If independent events have probabilities p and q, what are the odds of at...
- Probability - three fair dice are tossed. Let X,Y,Z denote the respetive numbers...
- math - If A and B are independent events, P(A) = 0.35, and P(B) = 0.55, find the...
- Math - are the events of drawing a knight from the bag of white pieces and ...