Reference no: EM132934593

The detailed marks allocation are provided at the beginning of each question. Unless otherwise specified, please calculate your answer to four decimal places if approximation is needed. This assignment is due at 5pm on Friday, 23th April 2020. Please submit your assignment before the deadline, no late submission will be accepted unless a pre-approval from Lecturer is obtained. The assignment must be submittded via Moodle in a pdf format with the file name 'firstname surname studentID.pdf'. Any assignment submitted through email (without pre-approval) will not be marked. Although this is an individual as- signment, you are encouraged to discuss the assignment with your peers, but must write down your own solution. Penalties will apply if two solutions have a high similarity.

Task. Please fix the seed to our course code 602 (1 mark). Then, please complete the following data presentation and calculation exercise:

Q1. Generate 25 data points (by using R) from a standard Normal distribution (with the above fixed seed), and display the dataset in a table;

Q2. Manually calculate the mean µdataset and standard deviation σdataset of this dataset;

Q3. Draw a histogram (by using R) for this dataset;

Q4. Suppose X is N(µdataset, σ2 ), manually calculate P(X ≤ 2.2276).

Q5. Attach your R codes to the Appendix;