Step 1: Define the Given Values
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Mean (μ) = 500 ml
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Standard deviation (σ) = 5 ml
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Range: 490 ml to 510 ml
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Distance from the mean:
490 = 500 − 10 (which is −2σ)
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So, this range represents within 2 standard deviations (k = 2).
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Assuming Normal Distribution
If the volume follows a normal distribution, we can use the empirical rule (68-95-99.7 rule):-
Within 2 standard deviations of the mean: ≈95.4% of values fall within this range.
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