Using the Binomial distribution, If n=6 and p=0.5, find P(x=5)

Answer 1

General Binomial formula:

P(x = k) = n! (p)^k (1-p)^(n-k)

---

k!(n-k)!

substitute 5 for k, 6 for n and 0.5 for p in the above formula to compute the probability:

P(x = 5) = 6! (0.5)^5(0.5)^1

----

5!1!

0.09375