Mopeds (small motorcycles with an engine capacity below50cm3 ) are very popular in Europe because of their mobility, ease of operation, and low cost. The article “Procedure to Verify the Maximum Speed of Automatic Transmission Mopeds in Periodic Motor Vehicle Inspections” (?J. of Automobile Engr., ?2008: 1615–1623) described a rolling bench test for determining maximum vehicle speed. A normal distribution with mean value 46.8 km/h and standard deviation 1.75 km/h is postulated. Consider randomly selecting a single such moped. a.? hat is the probability that maximum speed is at most 50 km/h? b.? hat is the probability that maximum speed is at least 48 km/h? c.? ?What is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations?

SCO 2550 Week 3/Chapter 3 Notes Colin Fritz Probability The probability will always be between 0 and 1 = 0 ≤ p ≤ 1 i Also probabilities of all of the sample points will add up to 1 Event – a collection of sample points also a simple event contains only a single sample point while a compound event contains two or more sample points To find the probability of an event you sum the probabilities of the sample points in the sample space Complement – the complement of an event is that the particular event does not occur Rule of compliments