Binomial Distribution

The correct answer is C:15
Given that;

%5Cdisplaystyle%20%5Csum%5E%7Bm%7D_%7Bi%3D0%7D(%5Cfrac%7B10%7D%7Bi%7D)(%5E%7B20%7D_%7Bm-i%7D)

%3D%5Cdisplaystyle%20%5Csum%5Em_%7Bi%3D0%7D10%7Bc_%7Bi%7D%7D%5Ctimes20_%7Bc_%7Bm-i%7D%7D

%3D10_%7Bc_%7B0%7D%7D%5Ctimes20_%7Bc_%7Bm%7D%7D%2B10_%7Bc_%7B1%7D%7D%5Ctimes20_%7Bc_%7Bm-1%7D%7D%2B10_%7Bc_%7B2%7D%7D%5Ctimes20_%7Bc_%7Bm-2%7D%7D%2B.....10_%7Bc_%7Bm%7D%7D

%3D30_%7Bc_%7Bm%7D%7D

We know that;

%5Ctherefore%20m%3D%5Cfrac%7Bn%7D%7B2%7D

for

n_%7Bc_%7Bm%7D%7D

to be maximum

%5Ctherefore%20m%3D%5Cfrac%7B30%7D%7B2%7D

⇒

m%3D15

Chapter Questions
1 MCQs