Hello, dear friend, you can consult us at any time if you have any questions, add WeChat: THEend8_
FP0060 STATISTICS AND FURTHER MATHEMATICS
Student Instructions: 1. Read these instructions fully and before you start the assessment. Read through the paper at least once before you start writing 2. There are 10 questions. Candidates should attempt every question. 3. You should not submit answers to more than the required number of questions. 4. The maximum mark for this paper is 100. 5. Answers must be handwritten, either on paper or using an electronic tablet, and uploaded to the AEP within a single PDF file. 6. You should write legibly, preferably in dark blue or black ink. If you use a pencil ensure that it is not too faint to be captured by a scan or photograph. 7. When uploading photographs or scans of your work please check for legibility before uploading. It is your responsibility to ensure that your work can be read. 8. Start each question on a new page, and only write on one side of each piece of paper. Label each question (number and part) clearly. 9. Write your student ID number in the top corner of each page (but not your name). 10. You are allowed to access module materials, notes and resources on Moodle during the assessment. You must not use any other websites or resources. 11. You may use a scientific calculator and the formula book provided to help you answer the questions. 12. You must not communicate with any other candidate during the assessment period. You may be contacted for a video call to discuss some of your answers. You should therefore keep the original copy of your work and be available via email/Teams in case you are contacted. 13. By starting this assessment you are declaring yourself fit to undertake it. You are expected to make a reasonable attempt at the assessment by answering the questions in the paper. 14. You have 2 hours to complete the assessment. You should upload your assignment to the AEP within the required timeframe (see below). FP0060 2 (Continued) Please note that: - We strongly recommend you use Google Chrome or Mozilla Firefox to access the Alternative Exams Portal. - You must have completed and uploaded the assessment within the fixed time available. - You have an additional 45 minutes beyond the stated duration of this assessment to allow for downloading and uploading the assessment, your files, and technical delays. This time should not be used to continue writing your answers. - Late submissions are not accepted. Once started, you must complete the assessment within 2 hours and then upload your files within 45 minutes. - If you are unable to submit your assessment, you can record Mitigating Circumstances. Your case will be considered and you will be notified of the outcome. - If you have pre-approved Alternative Exam Arrangements (Reasonable Adjustments) that permit extra time and/or rest breaks this time will be added on to the stated duration. FP0060 3 (Continued) Support During the Assessment Operational Support Use the AEP to seek advice immediately if during the assessment period: • you cannot access the online assessment; • you believe you have been given access to the wrong online assessment; Notify the invigilator (using the ‘Contact an Invigilator’ tool in the AEP) if you have an academic query about the assessment. Operational support will be available between 09:00 and 17:00 (UK Time).
Academic support beyond this time is at the discretion of the department. Other Support Write to your module convenor/department immediately if you cannot complete your assessment for the following reasons: • you lose your internet connection; • your device fails; • you become unwell and are unable to continue; • you are affected by circumstances beyond your control (e.g. fire alarm). Your assessment starts below. FP0060 1. The events A and B are independent with P (A) = 1 6 and P (A ∪B) = 4 9 . (a) Find P (B). Give your answer as a fraction. (3 marks) (b) Draw a Venn diagram to illustrate the events A and B and the probabilities for each region. (3 marks) (c) Find P ((A′ ∩B) ∪ (A ∩B′)). Give your answer as a fraction. (2 marks) (d) Find P (B′ |A). Give your answer as a fraction. (2 marks) 2. The probability distribution of the discrete random variable X is given by: x 1 3 5 P (X = x) 0.2− a 2a 0.8− a where a is a constant. (a) State the range of possible values of a. (2 marks) (b) Show that E(X) is independent of a.