Question

Twenty-six percent of U.S. employees who are late for work blame eversleeping. You randomly select four U.S. omployees who are iate for woek and ask them whather fiey blame overslooping The random variable represents the number of U.S. employees who are late for wokk and blame overskeping Find the mean of the binomial distribution.

Answer 1

The mean of the binomial distribution for the number of U.S. employees who blame oversleeping for being late is calculated using the formula μ = n * p, resulting in a mean of 1.04.

Step-by-step explanation:

The question is asking us to find the mean of a binomial distribution. In this scenario, each of the four employees selected represents an independent trial with two possible outcomes: blaming oversleeping or not. Since 26% of U.S. employees who are late for work blame oversleeping, the probability of success (p) in each trial is 0.26.

The mean (μ) of a binomial distribution is given by the formula μ = n * p, where n is the number of trials and p is the probability of success on each trial. Here, we have n = 4 employees and p = 0.26.

Calculating the mean: μ = n * p = 4 * 0.26 = 1.04.

Therefore, the mean number of U.S. employees out of the four selected who would blame oversleeping for being late to work is 1.04.