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What is the probability of selecting 4 employees at random from a plant where 40% of employees have experienced work-related injuries, and all of them have experienced a workplace injury? MCQ: a) 0.4 b) 0.16 c) 0.4^4 d) 0.6^4

Answer :

Final answer:

The probability of selecting 4 employees at random from a plant where 40% have experienced work-related injuries is 0.026.

Explanation:

The probability of selecting 4 employees at random from a plant where 40% of employees have experienced work-related injuries, and all of them have experienced a workplace injury, can be calculated using the binomial probability formula. In this case, the probability of selecting an employee with a work-related injury is 0.4, and the probability of selecting an employee without a work-related injury is 0.6. The probability of selecting 4 employees with work-related injuries can be calculated as:



P(4 employees with injuries) = (0.4)^4 = 0.4 * 0.4 * 0.4 * 0.4 = 0.026



Therefore, the probability of selecting 4 employees at random from the plant who have all experienced work-related injuries is 0.026, which is option c) 0.4^4.

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