3. In the following situations, identify the random variable ofinterest (e.g. â€Let X be the number of ...â€). Then state whether ornot the r.v. is binomial, justifying your answer.
(a) A police officer randomly selects 30 cars to find out howmany do not have
a current Warrant of Fitness (WOF). She knows from experiencethat the
probability a car does not have a current WOF is 1.6
(b) A data collector goes from house to house in a Wellingtonsuburb to find the number of houses where the person answering thedoor (over the age of 18) agrees with a particular housing policyof the current government. The probability that a randomly selectedadult in New Zealand agrees with the policy is known to be 0.4. Thecollector will stop collecting responses once they have 100responses.
(c) Mike is repeatedly rolling two dice and will stop when hegets a double six. He counts the number of rolls until he gets a’success’.
