Starting positions for business and engineering graduates are classifies by industry as shown in the previous table:

degree Major: - Oil - Chemical - Electrical - Computer

Business: 30 15 15 40

engineering 30 30 20 20

a) Using a 1% level of significance test for independence in degree major and industry type. Show the final Chi-square table from Minitab, the hypothesis test statements, and state your conclusions.
b) Find the marginal probability that a respondent is a business major

c) Find the conditional probability that a respondent is an engineering major, given that the respondent is in the chemical industry.
d) Find the conditional probability that a respondent is a business major, given that the respondent is in the chemical industry.

e) Find the probability that a respondent is a business major and in the computer industry.

f) Under the assumption of independence, find the probability that a respondent is a business major and in the computer industry.