Problem 2 The Student News Service at Clear Mountain State University (CMSU ) has decided to gather data about the undergraduate students that attend CMSU . CMSU creates and distributes a survey of 14 questions and receives responses from 62 undergraduates (stored in the Survey. csv file ). Part I 2.1 . For this data , construct the following contingency tables (Keep Gender as row variable ) 2.1.1 . Gender and Major 2.1.2 . Gender and Grad Intention 2.1.3 . Gender and Employment 2.1.4 . Gender and Computer 2.2 . Assume that the sample is a representative of the population of CMSU . Based on the data , answer the following questions 2.2.1 . What is the probability that a randomly selected CMSU student will be male ? What is the probability that a randomly selected CMSU student will be female ? 2.2.2 . Find the conditional probability of different majors among the male students in CMSU Find the conditional probability of different majors among the female students of CMSU 2.2.3 . Find the conditional al probability of intent to graduate , given that the student is a male Find the conditional probability of intent to graduate , given that the student is a female 2.2.4 . Find the conditional probability of employment status for the male students as well as for the female students 2.2.5 . Find the conditional probability of laptop preference among the male students as well as among the female students 2.3. Based on the above probabilities do you think that the column variable in each case is independent of Gender ? Justify your comment in each case Part II 2.4. Note that there are three numerical (continuous) variables in the data set, Salary, Spending and Text Messages. For each of them comment whether they follow a normal distribution Write a note summarizing your conclusions [Recall that symmetric histogram does not necessarily mean that the underlying distribution is symmetric ] Problem 3