Melissa Johnson runs the mile for her track team. She has averaged a time of 5 minutes, 30 seconds (5.5 minutes) during the season, with a standard deviation of 30 seconds (0.5 minutes). Assume that her times for running the mile are normally distributed 7. What is the probability that she will run amile in under 5 minutes during her next meet?Answer choices:0.0798. What is the probability that she will run amile between 5 minutes and 6 minutes duringher next meet?Answer choices:0.160.3180.8410.340.680.750.959. What is the probability that she will run amile between 4 minutes, 30 seconds and 5minutes, 30 seconds during her next meet?Answer choices:10. What is the probability that she will breakher personal best by running a mile under 4minutes during her next meet?Answer choices:0.340.4750.49850.83850.000340.000670.00150.0027

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Answered: 7. What is the probability that she…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section: Chapter Questions

Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...

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Melissa Johnson runs the mile for her track team. She has averaged a time of 5 minutes, 30 seconds (5.5 minutes) during the season, with a standard deviation of 30 seconds (0.5 minutes). Assume that her times for running the mile are normally distributed

7. What is the probability that she will run a
mile in under 5 minutes during her next meet?
Answer choices:
0.079
8. What is the probability that she will run a
mile between 5 minutes and 6 minutes during
her next meet?
Answer choices:
0.16
0.318
0.841
0.34
0.68
0.75
0.95
9. What is the probability that she will run a
mile between 4 minutes, 30 seconds and 5
minutes, 30 seconds during her next meet?
Answer choices:
10. What is the probability that she will break
her personal best by running a mile under 4
minutes during her next meet?
Answer choices:
0.34
0.475
0.4985
0.8385
0.00034
0.00067
0.0015
0.0027

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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