If a data set is normally distributed, then it can be proven (although we will not discuss the proof) that: Approximately 68% of the data lie within one A narmal distribution standard deviation of the mean. • Approximately 95% of the data lie within two standard deviations of the mean. • Approximately 99.7% of the data lie within 239% 23 34 13.5% three standard deviations of the mean. -3e -2n -a a p2e p3 This is called the empirical rule. el the data fedata 7t te data A produce distributor knows that during the month of September, the weights of its potatoes are approximately normally distributed with a mean of 150 grams and a standard deviation of 40 grams. Use the empirical rule to answer the following questions. Show your complete solutions. What percent of potatoes weigh less than 190 grams? In a shipment of 6000 potatoes, explain why approximately 5991 potatoes can be expected to weigh more than 30 grams. In a shipment of 6000 potatoes, approximately how many potatoes can be expected to weigh between 110 and 230 grams? The answer is a whole number. i. ii. i.
If a data set is normally distributed, then it can be proven (although we will not discuss the proof) that: Approximately 68% of the data lie within one A narmal distribution standard deviation of the mean. • Approximately 95% of the data lie within two standard deviations of the mean. • Approximately 99.7% of the data lie within 239% 23 34 13.5% three standard deviations of the mean. -3e -2n -a a p2e p3 This is called the empirical rule. el the data fedata 7t te data A produce distributor knows that during the month of September, the weights of its potatoes are approximately normally distributed with a mean of 150 grams and a standard deviation of 40 grams. Use the empirical rule to answer the following questions. Show your complete solutions. What percent of potatoes weigh less than 190 grams? In a shipment of 6000 potatoes, explain why approximately 5991 potatoes can be expected to weigh more than 30 grams. In a shipment of 6000 potatoes, approximately how many potatoes can be expected to weigh between 110 and 230 grams? The answer is a whole number. i. ii. i.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:If a data set is normally distributed, then it can be proven (although we will not discuss the proof) that:
• Approximately 68% of the data lie within one
standard deviation of the mean.
A nomal distribution
• Approximately 95% of the data lie within two
standard deviations of the mean.
• Approximately 99.7% of the data lie within
three standard deviations of the mean.
23%
IAS M
34.
-Ja -2e -a
-ethedata
This is called the empirical rule.
ofedta
A produce distributor knows that during the month of September, the weights of its
potatoes are approximately normally distributed with a mean of 150 grams and a standard deviation of
40 grams. Use the empirical rule to answer the following questions. Show your complete solutions.
What percent of potatoes weigh less than 190 grams?
In a shipment of 6000 potatoes, explain why approximately 5991 potatoes can be expected to
weigh more than 30 grams.
i.
i.
In a shipment of 6000 potatoes, approximately how many potatoes can be expected
between 110 and 230 grams? The answer is a whole number.
weigh
< O O
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