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A bottle filling machine fills, on average, 20,000 bottles a day with a standard deviation of...

A bottle filling machine fills, on average, 20,000 bottles a day with a standard deviation of 2,000. If we assume that the production is normally distributed and that a year comprises 260 working days. Answer the following questions. (A normal curve may be helpful)

What is the approximate number of working days that more than 32,000 bottles are filled?

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Answer #1

Given that, mean (μ) = 20000 bottles and

standard deviation = 2000 bottles

Number of working days = 260

First we find, P(X > 32000)

Therefore, the approximate number of working days that more than 32000 bottles are filled is, 260 * 0 = 0

Answer : 0 days

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