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28 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

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Final answer:

The concept revolves around calculating binomial probabilities for the number of US employees blaming oversleeping for their lateness when randomly selecting four such employees.

Step-by-step explanation:

The question pertains to the topic of probability and specifically deals with the concept of a binomial distribution, which is part of statistics, a branch of mathematics. In the scenario provided, we are dealing with the probability of randomly selected U.S. employees who are late for work blaming oversleeping.

Since 28 percent of U.S. employees attribute their lateness to oversleeping, and we are randomly selecting four employees, we can calculate the probability of each possible number of employees (from 0 to 4) blaming oversleeping using the binomial probability formula: P(X = k) = (n choose k) * p^k * (1-p)^(n-k), where 'n' is the number of trials, 'k' is the number of successes, and 'p' is the probability of success on any given trial.

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