Question

let \\(x\\) be a binomial random variable with \\(n = 6\\), \\(p = 0.2\\). find the following value.

\\\mu = np\\

Explanation:

Identify the given parameters

Using the Binomial Probability Distribution knowledge point
We are given a binomial random variable \(x\) with:

• Number of trials: \(n = 6\)
• Probability of success: \(p = 0.2\)

Apply the mean formula

Using the Binomial Probability Distribution knowledge point
The formula for the mean \(\mu\) of a binomial distribution is:

$$ \mu = np $$

Calculate the final value

Using the Binomial Probability Distribution knowledge point
Substitute the given values into the formula:

$$ \mu = 6 \times 0.2 = 1.2 $$

Answer:

Let \(x\) be a binomial random variable with \(n = 6\), \(p = 0.2\). Find the following value.

\(\mu = np =\) <blank>1.2</blank>