#9 - 14: The number of candy canes on a Christmas tree is normally distributed with a mean of 15 and a standard deviation of 3. 9. What is the probability that a randomly selected Christmas tree has less than 20 candy canes? A. 0.0478 B. 0.9522 C. 0.5843 D. 0.8376

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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#9 - 14: The number of candy canes on a Christmas tree is normally distributed with a mean of 15 and a
standard deviation of 3.
9. What is the probability that a randomly selected Christmas tree has less than 20 candy canes?
D. 0.8376
0.0478
B. 0.9522
C. 0,5843
A.
10. What is the probability that a randomly selected Christmas tree has more than 16 candy canes?
A. 0.2346
C. 0.7654
D. 0.3694
B. 0.6306
11. If there were 300 Christmas trees, how many would you expect to have more than 16 candy canes on them?
A. 70
В. 111
С. 189
D. 230
12. What is the probability that a randomly selected Christmas tree has between 11 and 17 candy canes?
A. 0.3862
B. 0.5482
C. 0.6563
D. 0.8744
13. What is the number of candy canes on a Christmas tree that represents the 20th percentile?
A. 11.86
В. 12.48
C. 16.23
D. 17.52
The mean length of time to complete a marathon is 4.82 hours with a standard deviation of 1.85 hours. If you
randomly select 100 people, what are the following probabilities?
14. That the mean time is less than 5 hours?
A. 0.1653
B. 0.4612
C. 0.5388
D. 0.8347
15. That the mean time is between 4.5 and 4.9 hours?
A. 0.3746
B. 0.6254
C. 0.3792
D. 0.9024
Transcribed Image Text:#9 - 14: The number of candy canes on a Christmas tree is normally distributed with a mean of 15 and a standard deviation of 3. 9. What is the probability that a randomly selected Christmas tree has less than 20 candy canes? D. 0.8376 0.0478 B. 0.9522 C. 0,5843 A. 10. What is the probability that a randomly selected Christmas tree has more than 16 candy canes? A. 0.2346 C. 0.7654 D. 0.3694 B. 0.6306 11. If there were 300 Christmas trees, how many would you expect to have more than 16 candy canes on them? A. 70 В. 111 С. 189 D. 230 12. What is the probability that a randomly selected Christmas tree has between 11 and 17 candy canes? A. 0.3862 B. 0.5482 C. 0.6563 D. 0.8744 13. What is the number of candy canes on a Christmas tree that represents the 20th percentile? A. 11.86 В. 12.48 C. 16.23 D. 17.52 The mean length of time to complete a marathon is 4.82 hours with a standard deviation of 1.85 hours. If you randomly select 100 people, what are the following probabilities? 14. That the mean time is less than 5 hours? A. 0.1653 B. 0.4612 C. 0.5388 D. 0.8347 15. That the mean time is between 4.5 and 4.9 hours? A. 0.3746 B. 0.6254 C. 0.3792 D. 0.9024
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