1. There are several scenarios described below. For each of them, do the following {note: RM. means random variable] al bl d} [1} Dene the R.\\i".--- that means something like, \"Let X be the numberof people who.....'* [2} Define the distribution and para meter{s] of the RN. [3} Give the support of the RM. [4} Write the probability statement related to the information being sought. DO NOT calculate the probability. CPARTS manufacturing company makes parts for the auto industry. Approximately 2.5% of the parts it makes are defective. We are interested in calculating the probability that the rst defective part is the 20'" one sampled. You are going to call a certain radio station when they have a contest to win money. This radio station's phone lines are busy approximately 90% of the time during contests. We are interested in nding the probability that the 6'\" time you call is the rst time you get through during a contest. BigBox store is going to hire 4 new cashiers. It has a pool of 12 applicants (7 male, 5 female] for these 4 cashierjobs. The BigBox manager is interested in the probability that two of the positions are lled by females. A gardener is inspecting herthe fall flowers in her garden. She not ices, on average, 3 bugs on a ower. She randomly picks one ower from her garden. She wants to know the probability that this ower has at least one bug on it. A student ista king a test that consists of 15 questions. Based on past performance the student has approximately a T596 chance of getting any individual question correct. We are interested in the probability that the student gets at least 10 of the questions on the test correct