In a random sampling three items are selected from a lot. Each item is tested and classified as defective (D) or non-defective (N). Write the sample space of this experiment.
Given: There are three sampling item.
To Find: Write the sample space for the given experiment.
Explanation: In the random sampling , three items are selected so it could be
(a) All defective (D)
(b) All non-defective(N)
(c) Combination of both defective and non defective
We have 2 category (N and D) and we have three condition
So, The number of sample is 23 = 8
Sample space associated with this experiment is
S={DDD, NDN, DND, DNN, NDD, DDN, NND, NNN)
Hence, S is the sample space for given experiment