HI6007 Statistics For Business Decisions - Tutorial Questions Assignment

Question 2: Week 3 Question 4, (7 Marks)

a. Holmes Institute conducted a survey about International Students in Melbourne. The survey results are given in the table below.

1. Prepare a joint probability table (1 mark)
2. Given that a student applied to more than 1 university, what is the probability that the student is 24-26 years old. (1 mark)
3. Is the number of universities applied to independent of student age? Explain (2 marks)

b. Assume, North Origano, is a country with highest domestic violence cases (approximately 5 cases per 1000 families). Working with counselors, a researcher developed the following probability distribution for x= the number of new clients for counseling for 2021.

1. Compute the expected value and variance of x. (3 marks)

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