What is the formula for binomial distribution?

Category: QuestionsWhat is the formula for binomial distribution?
Editor">Editor Staff asked 11 months ago

What is the formula for binomial distribution?
 
(a) P [X = x] = ^nCn p^x q^n-x
 
(b) P [X = x] = ^xCx p^x q^n-x
 
(c) P [X = x] = ^nCx p^x q^n-x
 
(d) P [X = x] = ^nCx p^n q^n-x
 
This question was posed to me in a job interview.
 
The origin of the question is Bernoulli Trials and Binomial Distribution topic in portion Probability of Mathematics – Class 12
NCERT Solutions for Subject Clas 12 Math Select the correct answer from above options 
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1 Answers
Editor">Editor Staff answered 11 months ago

The correct choice is (c) P [X = x] = ^nCx p^x q^n-x
 
For explanation I would say: Formula for binomial distribution is P [X = x] = ^nCx  p^x q^n-x
 
Where n is the number of trials, x is the number of successes and (n-x) is failures.