Probability Question 113
Question: A fair coin is tossed 99 times. If X is the number of times head occurs, $ P(X=r) $ is maximum when r is
Options:
A) 49 or 50
B) 50 or 51
C) 51
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
Putting n = 99 and $ p=\frac{1}{2} $ , we have $ (n+1)p $
$ =(100)(\frac{1}{2})=50 $ .
So that the maximum value of $ P(X=r) $ occurs at $ r=(n+1) $
$ P=50 $ and at $ r=(n+1)p-1=49 $
BETA
