The binomial probability with the parameters is P(x) = ⁸Cₓ * 0.75ˣ * 0.25ⁿ ⁻ ˣ
Construct a binomial probability distribution with the parameters.
From the question, we have the following parameters that can be used in our computation:
n = 8 and p = 0.75
The above means that
- Number of trials (n) = 8
- Probability of success (p) = 0.75
- Probability of failure (q) = 1 - 0.75 = 0.25
The binomial probability distribution with the parameters is represented as
P(x) = ⁿCₓ * pˣ * qⁿ ⁻ ˣ
Substitute the known values into the equation
P(x) = ⁸Cₓ * 0.75ˣ * 0.25ⁿ ⁻ ˣ
Hence, the binomial probability is P(x) = ⁸Cₓ * 0.75ˣ * 0.25ⁿ ⁻ ˣ