Question

In binomial distribution n=6 and p=0.9, then the value of p(x=7) is

Answer 1

Answer:

In a binomial distribution b(n, p), the probability of r successes out of n trials is given by ; P(X = r) = C(n, r).p^(r)q^(n-r) ; r = 0, 1, 2, …. .. (n-1).

By definition, n = 6 means you have 6 trials .

You cannot have 7 occurrences in 6 binomial trials.

So the P( X = 7) = 0

Additionally, the formula is not defined for X >6.

P(X=k) = (n k) (p)^k (1-p)^(n-k)

Means

X has values 0,1,2,3,4,5, and 6

X cannot be bigger than N

X will never be 7

P(X = 7) = 0