Question

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

Answer 1

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