Question

Using the binomial distribution, if n=6 and p=0.2, find p(x=5)

Answer 1

To find P(x = 5) using the binomial distribution formula, substitute the given values of n = 6 and p = 0.2 into the formula.P(x = 5) ≈ 0.00192.

Step-by-step explanation:

In this question, we are given n = 6 and p = 0.2, and we are asked to find P(x = 5) using the binomial distribution formula.

The binomial distribution formula is:

P(x) = (nCx) * p^x * (1-p)^(n-x)

Substituting n = 6, p = 0.2, and x = 5 into the formula:

P(x = 5) = (6C5) * 0.2^5 * (1-0.2)^(6-5)

P(x = 5) = 6 * 0.2^5 * 0.8^1

P(x = 5) = 6 * 0.00032 * 0.8

P(x = 5) ≈ 0.00192