In: Statistics and Probability
A boxcar contains six complex electronic systems. Two of the six areto be randomly selected for thorough testing and then classified as defective or not defective.
(a) Describe the sample spaceSof this experiment and give its cardinality
(b) Explain why this is an equally likely experiment
(c) If two of the six systems are actually defective, find:
(i) the probability that at least one of the two systems tested will be defective
(ii) the probability that both are defective.
Note:Please leave all your answers to this question in combination formula.