Question

Let X be a binomial random variable with p=0.3 and n=15. What is P(X=5)?

Answer 1

0.20613038098

Explanation:

The formula for Binomial Probability =

P(X) =[ n!/(n - x)! × x! ] × p^x × q^n - x

From the question

x = 5

n = 15

p = 0.3

q = 1 - p

= 1 - 0.3 = 0.7

P(x = 5) = [15!/(15 - 5)! × 5! ] × 0.3^5 × 0.7^15 - 5

P(x = 5) = 3,003 × 0.3^5 × 0.7^10

P(x = 5) = 0.20613038098

Therefore, P(x = 5) = 0.20613038098