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.