peds (small motorcycles with an engine capacity below 50 cm) are very popular in Europe because of their mobility, ease of operation, and low cost. Suppose the maximum speed of a moped is normally distributed with mean value .8 km/h and standard deviation 1.75 km/h. Consider randomly selecting a single such moped. A USE SALT ) What is the probability that maximum speed at most 50 km/h? (Round your answer to four decimal places.) 0.0884 ) What is the probability that maximum speed is at least 48 km/h? (Round your answer to four decimal places.) 0.254G :) What is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations? (Round your answer to four decimal places.) 0.4332 u may need to use the appropriate table in the Appendix of Tables to answer this question.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Mopeds (small motorcycles with an engine capacity below 50 cm³) are very popular in Europe because of their mobility, ease of operation, and low cost. Suppose the maximum speed of a moped is normally distributed with mean value 46.8 km/h and standard deviation 1.75 km/h. Consider randomly selecting a single such moped.

**(a)** What is the probability that maximum speed is at most 50 km/h? (Round your answer to four decimal places.)

\[ \text{0.9684} \]

**(b)** What is the probability that maximum speed is at least 48 km/h? (Round your answer to four decimal places.)

\[ \text{0.2549} \]

**(c)** What is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations? (Round your answer to four decimal places.)

\[ \text{0.4332} \]

You may need to use the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text:Mopeds (small motorcycles with an engine capacity below 50 cm³) are very popular in Europe because of their mobility, ease of operation, and low cost. Suppose the maximum speed of a moped is normally distributed with mean value 46.8 km/h and standard deviation 1.75 km/h. Consider randomly selecting a single such moped. **(a)** What is the probability that maximum speed is at most 50 km/h? (Round your answer to four decimal places.) \[ \text{0.9684} \] **(b)** What is the probability that maximum speed is at least 48 km/h? (Round your answer to four decimal places.) \[ \text{0.2549} \] **(c)** What is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations? (Round your answer to four decimal places.) \[ \text{0.4332} \] You may need to use the appropriate table in the Appendix of Tables to answer this question.
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