9. What is the probability that a randomly selected elephant will weight at least 8.56 tons? 856 10. What is the probability that a randomly selected elephant will have a weight that is at most 6.42 tons? 642 11. What is the probability that a randomly selected elephant will weigh between 3.21 and 9.63 tons? 321

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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I need help with 9-11 please

The Empirical Rule
The average weight of an elephant is 6.42 tons with a standard deviation of 1.07 tons. Use the Empirical Rule
to answer the following questions.
1. What weight is 3 standard deviations below the mean? 3.21
2. What weight is 2 standard deviations below the mean? 4.28
3. What weight is 1 standard deviation below the mean? 5.35
4. What weight is the mean? 6.42
5. What weight is 1 standard deviation above the mean? 7.49
6. What weight is 2 standard deviations above the mean? 8.56
7. What weight is 3 standard deviations above the mean? 9.63
8. Between what two values do 68% of elephants weigh? Between 5.35
and 7.49
9. What is the probability that a randomly selected elephant will weight at least 8.56 tons? 856
10. What is the probability that a randomly selected elephant will have a weight that is at most 6.42 tons?
642
x %
11. What is the probability that a randomly selected elephant will weigh between 3.21 and 9.63 tons?
321
12. Would a weight of 3 tons be an unusual weight for an elephant?
Yes, 3 tons is beyond 3 standard deviation of the mean. • V
Transcribed Image Text:The Empirical Rule The average weight of an elephant is 6.42 tons with a standard deviation of 1.07 tons. Use the Empirical Rule to answer the following questions. 1. What weight is 3 standard deviations below the mean? 3.21 2. What weight is 2 standard deviations below the mean? 4.28 3. What weight is 1 standard deviation below the mean? 5.35 4. What weight is the mean? 6.42 5. What weight is 1 standard deviation above the mean? 7.49 6. What weight is 2 standard deviations above the mean? 8.56 7. What weight is 3 standard deviations above the mean? 9.63 8. Between what two values do 68% of elephants weigh? Between 5.35 and 7.49 9. What is the probability that a randomly selected elephant will weight at least 8.56 tons? 856 10. What is the probability that a randomly selected elephant will have a weight that is at most 6.42 tons? 642 x % 11. What is the probability that a randomly selected elephant will weigh between 3.21 and 9.63 tons? 321 12. Would a weight of 3 tons be an unusual weight for an elephant? Yes, 3 tons is beyond 3 standard deviation of the mean. • V
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