Problem no. 20 An engineer responsible for the control of the quality in the company where she works receives a batch of 200 parts used in the computers that they build. She decides to pick 10, at random and without replacement, and to test them. Let E be the random experiment that consists in counting the number of defective parts among the 10 parts tested. Answer the following questions by assuming that there are in fact two defective parts among the 200 parts received
a) Write the sample space S.
b) Calculate the probability of all the elementary events.
c) We define the event Ak - there are exactly k defective parts among the 10 parts tested, fork 0, I, . . . . Calculate PIAoU (Ain A2)].