Mopeds 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 a mean value 46.5 km/h and standard deviation 1.74 km/h. Consider randomly selecting a single such moped. a). What is the probability that the maximum speed is at most 50 km/hr? (Round your answer to four decimal places.) b). What is the probability that the maximum speed is at least 48 km/hr? (Round your answer to four decimal places.) c). What is the probability that the maximum speed differs from the mean value by at most 2.1 standard deviations? (Round your answer to 4 decimal places).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 40E: Pygmy Height The average height of a member of a certain tribe of pygmies is 3.2ft, with a standard...
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Mopeds 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 a mean value 46.5 km/h and
standard deviation 1.74 km/h. Consider randomly selecting a single such moped.
a). What is the probability that the maximum speed is at most 50 km/hr? (Round your answer to
four decimal places.)
b). What is the probability that the maximum speed is at least 48 km/hr? (Round your answer to
four decimal places.)
c). What is the probability that the maximum speed differs from the mean value by at most 2.1
standard deviations? (Round your answer to 4 decimal places).
Transcribed Image Text:Mopeds 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 a mean value 46.5 km/h and standard deviation 1.74 km/h. Consider randomly selecting a single such moped. a). What is the probability that the maximum speed is at most 50 km/hr? (Round your answer to four decimal places.) b). What is the probability that the maximum speed is at least 48 km/hr? (Round your answer to four decimal places.) c). What is the probability that the maximum speed differs from the mean value by at most 2.1 standard deviations? (Round your answer to 4 decimal places).
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