Problem

The weight of oranges growing in an orchard is normally distributed with a mean weight of \( 7 \mathrm{oz} \). and a standard deviation of \( 1 \mathrm{oz} \). Using the empirical rule, what percentage of the oranges from the orchard weigh between \( 4 \mathrm{oz} \), and \( 10 \mathrm{oz} \) ?

Solution

Step 1 :Find the difference between the given weight and mean weight in terms of standard deviations.

Step 2 :Use empirical rule: 68-95-99.7% rule.

Step 3 :Determine the percentage of oranges between the given weights.

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Source: https://solvelyapp.com/problems/7769/

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