Reference no: EM133123349 , Length: 10 pages

BSB123 Data Analysis - Queensland University of Technology

Probability and Introduction to Probability Distributions

Question One:

The data for this question relates to information provided in THA 1 on international student admissions to graduate programs in the USA. Data is the same with one additional variable
• Chance of Admission (%)
• GRE Score - an admissions test which provides a score between 260 and 340.
• TOEFL - an English language test score out of 120
• University Rating - 1 to 5 with 1 highest rating
• CGPA - Cumulative Grade Point Average out of 10
• Gender
• Level of Award - Student achievement rating (Pass, Credit, Distinction or High Distinction)

a. Use a pivot table to construct both a cross tabulation and a joint probability table for the two variables University Rating and Student Achievement Rating (Level of Award)
b. Calculate the following probabilities showing rules and calculations:
I. A student comes from a Rating 4 universityand achieved a Distinction Rating.
II. A student comes from a Rating 2 university or achieved a pass rating.
III. Given a student came from a Rating 1 university that they achieved a High Distinction
IV. Given a student achieved a high distinction that they came from a rating one university.
V. Using data from the Rating 3 universities and the students who achieved a Pass can you say that the two variables University Rating and Level of Award are independent? (Check: you should get a value of 0.006)
VI. That a student who was NOT a high distinction student came from a rating 2 university

Question Two:

A company has been running a particular manufacturing process for 3 years and has accumulated a large amount of data on the number of defective items produced each day. Data from 600 days of production gives the number of defective items per day:

a. Convert the data to a probability distribution
b. What is the probability that there are between 2 and 4 defective items inclusive in one day
c. What is the expected number of defective items per day
d. What is the standard deviation of the number of defective items per day (Check: 1.408)
The company has been approached to purchase a new process. The supplier is promoting that the new process will produce fewer defectives on average and has provided the following probability distribution as evidence

e. Calculate the Expected Value and Standard Deviation of the number of defectives for the new process
f. Does this data support the suppliers claim that the process is better. Use both the expected value and the standard deviation to answer the question.

Question Three

90% of all Data Analysis students who complete all of the THA's pass the subject.Unfortunately only 50% of students do all of the THA's.Overall 80% of students pass Data Analysis. What is the probability that a student who did not complete all of the THA's will fail Data Analysis?

Submission Instructions:
1. Submit your THA as a single document in pdf format via Blackboard.

2. After uploading your THA, please ensure that the correct THA was properly uploaded.

Attachment:- Probability and Probability Distributions.rar