Due Date: Tuesday, August 31, 2010 at beginning of class 1. Let the outcomes of

Question

Due Date: Tuesday, August 31, 2010 at beginning of class
1. Let the outcomes of an experiement consist of the possible class sizes in Statistics
courses at UW; note that classes cannot have less than 5 students and the largest
classrooms that we can use hold 200 students. What is the sample space, O, for this
experiment?
2. The outcomes of an experiment are nine pairs of (x,y), where x and y are each one of
the integers 1, 2 or 3.
(a) Write out all the possible outcomes; namely, O for this experiment.
(b) Let A be the event that each value in the outcome is an even number. Write out
the event A.
(c) What is the event Ac or A ? Please do this using words (description) as well as
by writing out set.
(d) Let B be the event that only the x value in the pair is even. Write out the event
B.
(e) What is A ? B?
(f) What is A n B?
NOTE: It will be worth your while to make sure you understand all the properties of events
using these problems as examples.
1mster has to offer

Explanation / Answer

1) The sample space S = {5,6,7,8,9,10,........................,198,199,200} 2) a) O = {(1,1),(2,2),(3,3),(1,2),(1,3),(2,3),(2,1)(3,1),(3,2)} b)A = {(2,2)} (it is an event in which both x and y are 2) (x and y both are even and there is only one possibility of this tha x = 2 and y = 2) c)Ac = {(1,1),(3,3),(1,2),(1,3),(2,3),(2,1)(3,1),(3,2)} (Ac = O-A) in words = Ac is the event that atleast one of the outcome is odd no. d)B = {(2,2),(2,3),(2,1)} (x = 2 and y can be any no from 1,2,3) e)A union B = {(2,2)(2,3)(2,1)} (elements of both A and B) f)AnB = {(2,2)} (elements common in A and B)

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