Final answer:
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