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Answer :
Final answer:
The variance of the number of defective shoes in a manufacturing plant can be calculated using the formula: variance = (probability of success) x (probability of failure) x (total number of trials). In this case, the variance is 38.
Explanation:
To calculate the variance, we can use the formula:
variance = (probability of success) x (probability of failure) x (total number of trials)
In this case, the probability of making a defective shoe is 0.05, so the probability of success is 0.05 and the probability of failure is 1 - 0.05 = 0.95. The total number of shoes in the plant is 800, so the variance can be calculated as:
variance = 0.05 x 0.95 x 800 = 38
Therefore, the variance is 38.
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