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 46.7 km/h and standard deviation 1.75 km/h. Consider randomly selecting a single such moped.
Solution:- Given mean = 46.7 , standard deviation = 1.75
a) P(X <= 49) = P((X-mean)/s < (49-46.7)/1.75)
= P(Z < 1.3143)
= 0.9049
b) P(X >= 48) = P((X-mean)/s > (48-46.7)/1.75)
= P(Z > 0.7429)
= 0.2296
c) P(-2.5 < Z < 2.5) = 0.9876
Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because...
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