Faculty of Computer Studies Course Code: M130 Course Title: Introduction to Probability and Statistics Tutor Marked Assignment Cut-Off Date: 4th of May Total Marks:60 Contents Question 1……………………..………………………………………..……… 3 Question 2……………………………..………………..……………………… 3 Question 3………………………………..………………..…………………… 4 Question 4………………..……………………………………..……………… 4 Question 5……………………………………………………………………… 5 Question 6……………………………………………………………………… 5 Plagiarism Warning: As per AOU rules and regulations, all students are required to submit their own TMA work and avoid plagiarism. The AOU has implemented sophisticated techniques for plagiarism detection. You must provide all references in case you use and quote another persons work in your TMA. You will be penalized for any act of plagiarism as per the AOUs rules and regulations. Declaration of No Plagiarism by Student (to be signed and submitted by student with TMA work): I hereby declare that this submitted TMA work is a result of my own efforts and I have not plagiarized any other persons work. I have provided all references of information that I have used and quoted in my TMA work. Name of Student: Signature: Date: M130 TMA Feedback Form [A] Student Component Student Name: Student Number: Group Number: [B] Tutor Component Tutor Name: QUESTION 1 2 3 4 5 6 MARK 10 10 10 10 10 10 SCORE TOTAL Tutor’s Comments: The TMA covers only chapters 1, 2, 3 and 4. It consists of six questions for a total of 60 marks. Please solve each question in the space provided. You should give the details of your solutions and not just the final results. Q−1: [2+3+4+1 Marks] A study of the effects of smoking on sleep pattern is conducted. The measure observed in the time, in minutes that it takes to fall asleep. These data are : Smokers 48.1 52.7 53.2 56 60.2 69.3 13.8 22.1 23.2 34.4 34.8 47.6 Nonsmokers 30.2 30.6 31.8 34.9 36 37.9 38.5 41.6 13.9 21.1 25.1 26.4 28.4 28.6 29.8 Calculate the mean, median for each group. Find the inter-quartile range for each group . Calculate the standard deviation for each group. Comment on what kind of impact smoking appears to have on the time required to fall asleep. Q-2: [3+2+3+2 Marks] In a 10- question examination, each question is worth 10 points and it is graded right or wrong, considering the individual questions, in how many ways can a student score 80 or better? How many permutations are there of the letters in the word REMEMBER? The director of research and development for a company has nine scientists who are equally qualified to work on projects A, B and C. In how many ways can the director assign three scientists to each project ? In how many ways can seven of ten books be arranged on a bookshelf? In how many ways can all ten books be arranged on the shelf? Q-3: [5+5 Marks] The classification of faculty at a college is indicated in the following table: Male Female Total Professor 12 3 15 Associate professor 15 9 24 Assistant professor 18 8 26 Instructor 20 15 35 Total 65 35 100 If a committee of three faculty members is selected at random what is the probability that: All females. A professor and two associate professor . If a faculty member is selected at random from this college, find the probability that: The faculty is male, given that the faculty is instructor. The faculty is not professor given that the faculty is female. Q-4: [2+2+3+3Marks] A manufacturer has 3 machines〖 B〗_1,B_2 and B_3, make 35%, 40% and 25%, respectively, of the products. It is known from past experience that 2%, 3% and 1% of the products made by each machine respectively are defective. If a finished product is randomly selected: What is the probability that it is defective? What is the probability that it is not defective? If the product is defective, what is the probability it was made by machineB_3? If the product is not defective, what is the probability that it was made by machineB_1? Q-5: [3+2+2+3 Marks] An urn contains 10 marbles, each of which shows a number. Five marbles show 1,two marbles show 2 and three show 3. A marble is drawn at random. If x is the number that shows find the followings: The probability distribution and the cumulative distribution of the random variable x. p(1≤x≤3),p(x
Posted on: Sun, 09 Mar 2014 08:04:21 +0000
Trending Topics
Recently Viewed Topics
© 2015