The time spent to arrive to the university is normally distributed with mean 10 minutes and standard deviation 3. If classes start at 9:00 am, what time should students leave home so they will be late only 9% of the time? 10 minutes before 8 am b. 25 minutes before 8 am c.14 minutes before 8 am d. None Five motors (numbered 1 through 5) are available for use, two motors are defective. Motor 1 and 2 me from supplier I, and motor 3, 4, 5 come supplier II. Suppose that two motors are randomly selected use in a given day. Let A denote the event that the defective motor is selected, then PCA) is equal to 0.4 b. 0.3 c. 0.2 d. 0.5 In probability theory, a collection of events of the all possible outcomes is known as Mutually exclusive b. Collectively exhaustive c. Collectively exclusive d. Mutually rents events events exclusive events Let X, and X, having exponential distributions with mean of 450 each and let y = x2 + x, then