Mopeds (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 46.6 km/h and standard devian 1.75 km/h. Consider randomly selecting a single such moped. LAUSE SALT (a) What is the probability that maximum speed is at most 50 km/h? (Round your answer to four decimal places.) (b) What is the probability that maximum speed is at least 49 km/h? (Round your answer four decimal places.) (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.)
Mopeds (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 46.6 km/h and standard devian 1.75 km/h. Consider randomly selecting a single such moped. LAUSE SALT (a) What is the probability that maximum speed is at most 50 km/h? (Round your answer to four decimal places.) (b) What is the probability that maximum speed is at least 49 km/h? (Round your answer four decimal places.) (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.)
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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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 46.6 km/h and standard devia
1.75 km/h. Consider randomly selecting a single such moped.
USE SALT
(a) What is the probability that maximum speed is at most 50 km/h? (Round your answer to four decimal places.)
(b) What is the probability that maximum speed is at least 49 km/h? (Round your answer to four decimal places.)
(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.)
You may need to use the appropriate table in the Appendix of Tables to answer this question.
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