Test for the fourth week Assessment task Probability and probability Distributions XXXXXXXXXXdoc5 Semester 1 RMIT University Page 1 of 6 Assessment Activities sheet for Probability Sem XXXXXXXXXXPrint...

provide it with explanations please.My student number: 3533069My age : 23


Test for the fourth week Assessment task Probability and probability Distributions 2018-2.doc5 Semester 1 RMIT University Page 1 of 6 Assessment Activities sheet for Probability Sem 2 2018 Print off and complete before handing in Firstly fill in section A Name: Group Section A (4 marks) Your student number is S Your birthdate is You will make some numbers using your student number The first number, to be used in question 1, is the first two digits of your student number Now referred as A The second number will be used in Question 2. It is made from the last two digits in your student number Now referred as B The Third number will be used Question 3, and is made using the third and fourth digits of your student number Now referred as C The seven numbers to be used in the fourth question will be made from the digits 1 First Digit 1 Second Digit 1 Third Digit 1 Fourth Digit 1 Fifth Digit 1 Sixth Digit 1 Seventh Digit List the 7 numbers you will be using in the box below, And this will be referred to as data set D Data set E will be made using your birthdate eg 30/12/95 1 First Digit 1 Second Digit 1 Third Digit 1 Fourth Digit The year digits added List E here If your student number was s 3246579 Then your seven numbers would be D 13 , 12 , 14 , 16 ,15 , 17 and 19 Eg. E Would become13,10, 11, 12 and(9+5=14) Assessment task Probability and probability Distributions 2018-2.doc5 Semester 1 RMIT University Page 2 of 6 Question 1 Complete the Venn Diagram ( 4 marks) and parts a) to h) (4 marks) D E D = {dataset D } E = {dataset E } Sample space = { 10 ≤Positive Integers ≤20 } Find: a) Pr(D) b) Pr (E) c) Pr( D  E) d) Pr (D  E) e) Pr (D  E) / D) f) Pr(D’) g) Pr(D  E’) h) Pr (D  E)’ Do not enter repeats of any numbers, mention them just once In each set Assessment task Probability and probability Distributions 2018-2.doc5 Semester 1 RMIT University Page 3 of 6 Question 2 (4 marks) There is a class of students in the statistics course at RMIT. When asked their favourite colour, there were 3 distinct categories. The selected colour and gender of students are shown in this contingency table. Make sure you fill in the values and the totals. blue green red male A B C female B C A If you were to approach a statistics student, what would be the probability that this student: a) Was a female and has red as a favourite colour b) Was either a male who likes green or a female who likes blue c) Was a male who likes blue given this person was a male d) Was a female who likes green given this person likes green ( 1 + 1 + 1 +1 marks) Assessment task Probability and probability Distributions 2018-2.doc5 Semester 1 RMIT University Page 4 of 6 Question 3 The weight of a Dog is normally distributed with mean A kg and standard deviation 2.B. kg. (eg. If your B is 45 then standard deviation is 2.B= 2.45) Find: a) The probability that a Dog is less than 35 kg ( 2 marks) b) b) The probability that a dog is greater than 32 kg ( 2 marks) c) What dog’s weight would be at the start of the top 5% of the heaviest dogs. Interpret your answer. ( 2 marks) d) You sampled dogs 16 at a time and calculate the sample mean for the sample. What would the sample mean be at the top ( heaviest) 10% of sample means sampled in this way? ( 2 marks) Assessment task Probability and probability Distributions 2018-2.doc5 Semester 1 RMIT University Page 5 of 6 Question 4 ( 5 marks) The amount of savings needed to fund a person’s retirement is a concern for the government. A sample of C (if C happens to be 0, then use C as 25) people who were about to retire was taken. On surveying this sample, it was found the average savings per person was $350,000 and the population deviation is known to be $20,000. Calculate a 99% confidence interval for the population mean amount needed for retirement Question 5 (5 marks) 3) The proportion of people who love dogs is known to be quite high Australia wide. In an effort to find the Population Proportion of people who love dogs, a sample of A was taken and 60% in this sample said they did indeed love dogs. Construct a 95% confidence interval for the population proportion of people who love dogs Australia wide. Be sure to interpret your answer ( 5 marks) Assessment task Probability and probability Distributions 2018-2.doc5 Semester 1 RMIT University Page 6 of 6 Question 6 (6 marks) The likelihood that a person likes dogs is known to be 70%. A sample of (C + A) / 2 ( round off to a whole number) is approached. Calculate a) The probability that less than 2 will love dogs ( 3 marks) b) The probability that 6 will love dogs ( 2 marks) c) The Expected (mean) number who will love dogs ( 1 mark) No Slide Title Business Statistics Probability Week 4, class 2: Contingency tables Key concepts Probability of single events Contingency Tables Probability of more than one event Mutually exclusive events Compliment of an event Independent events Resources, activities for this