Question

eleven percent of u.s. employees who are late for work blame oversleeping. you randomly select four u.s. employees who are late for work and ask them whether they blame oversleeping. the random variable represents the number of u.s. employees who are late for work and blame oversleeping.
find the mean of the binomial distribution.
μ = □ (round to the nearest hundredth as needed.)

Explanation:

Step1: Identify parameters

For a binomial distribution, the formula for the mean is $\mu = np$, where $n$ is the number of trials and $p$ is the probability of success. Here, $n = 4$ (number of employees selected) and $p=0.11$ (eleven - percent converted to decimal).

Step2: Calculate the mean

Substitute the values into the formula: $\mu=4\times0.11$.
$$\mu = 0.44$$

Answer:

$0.44$