data link: https://drive.google.com/file/d/1KT2I7NsO-AzhwHC2bQWfwrcpuXNXZHLA/view?usp=sharing

Problem 2 - (DownloadSurveyData)

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 theSurveydata set).

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 representative of the population of CMSU. Based on the data, answer the following question:

2.2.1. What is the probability that a randomly selected CMSU student will be male?

2.2.2. What is the probability that a randomly selected CMSU student will be female?

2.3. Assume that the sample is representative of the population of CMSU. Based on the data, answer the following question:

2.3.1. What is the conditional probability of different majors among the male students in CMSU.

2.3.2 What is the conditional probability of different majors among the female students of CMSU.

2.4. Assume that the sample is a representative of the population of CMSU. Based on the data, answer the following question:

2.4.1. What is the probability That a randomly chosen student is a male and intends to graduate.

2.4.2 What is the probability that a randomly selected student is a female and does NOT have a laptop.

Please mention the formulas for the above question, No need to give answers, I have answers but I have some doubts about formulation.