Statistics And Probability Question 520
Question: A sample space consists of 3 sample points with associated probabilities given as $ 2p,p^{2},4p-1 $ . Then the value of p is
Options:
A) $ p=\sqrt{11}-3 $
B) $ \sqrt{10}-3 $
C) $ \frac{1}{4}<p<\frac{1}{2} $
D) none
Show Answer
Answer:
Correct Answer: A
Solution:
- [a] $ p^{2}+2p+4p-1=1 $ (Exhaustive) $ p^{2}+6p-2=0 $ Or $ p=-3\pm \sqrt{11}=\sqrt{11}-3 $