# Mathematics and Statistics

Mathematics and Statistics – Spring 2020 – CW2 (Assignment 2) –All – QP`
IN SEMESTER (INDIVIDUAL) ASSIGNMENT
Module Code: MASC 0008.1
Module Name: Mathematics and Statistics
Level: 0
Max. Marks: 100
Instructions to Student

Deadline of submission: 09/07/2020

The marks received on the assignment will be scaled down to the actual weightage
of the assignment which is 50 marks
Formative feedback on the complete assignment draft will be provided if the draft is

submitted at least 10 days before the final submission date.
Feedback after final evaluation will be provided by 23/07/2020

Please check the note after each task.
Each student has to collect all required data of each task and attach it as appendix.
23:59
Module Learning Outcomes
The following LOs are achieved by the student by completing the assignment successfully
1. Demonstrate systematic understanding of the basic concepts of probability and probability
distributions.
Assignment Objective
To assess learning emphasized on basic concepts of probability and probability distribution, problem
solving skills and the ability to apply this knowledge in Engineering.
Based on true statistics, list the number of confirmed cases of coronavirus COVID-19 from 1st of
April to 30th of April. (Note: each student must choose different statistics from World country by
selecting a country starting with first alphabet of their name and you must take a screenshot of
the data). Then calculate.
MEC_AMO_TEM_034_01
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Mathematics and Statistics – Spring 2020 – CW2 (Assignment 2) –All – QP
a. Median.
(3 marks)
b. Mode.
(3 marks)
Get 14 days weather forecast for your region including temperature and the percentage of
humidity (hint: you can use the website or weather app). Write the temperature and percentage
of humidity in a table including (Region name, Date) then answer the following:
a. Compare the dispersion between the temperature and humidity.
(7 marks)
b. Find the relationship between the temperature and humidity by
i. Correlation coefficient.
(3 marks)
ii. Scatter diagram.
(2 marks)
Consider a box contains cards with your ID number and 5 another student’s ID (i.e. each card will
contain either a number or a letter). Answer the following:
a. If one card is selected at random.
i. Find the probability that the selected card contains a number.
ii. Find the probability that the selected card contains a letter.
(3 marks)
(3 marks)
b. If two cards are selected at random one after another. What is the probability that
both cards contain a letter? If each card is
i. Replaced.
(3 marks)
ii. Not replaced.
(3 marks)
(Remark: please select ID of 5 students and list their name with their ID as evidence).
As is the case around the world, we in Oman too are confronted with the unprecedented
challenges posed by the COVID-19 (Corona Virus) pandemic. Therefore, the teaching moved to
online platforms, but some students dislike the online learning for many reasons. Make a short
survey among 30 students (male and female) of “Do you prefer online learning or face-to-face
learning” and take a screenshot of your work. Fill your result in the following table:
(3 marks)
MEC_AMO_TEM_034_01
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Mathematics and Statistics – Spring 2020 – CW2 (Assignment 2) –All – QP
Gender
Male
Female
Face-to-face learning
Online learning
Based on your result. One student selected at random, find the probability that.
a. The student does prefer online learning given that he is a male.
(2 marks)
b. The student prefers face-to-face learning, or she is female.
(2 marks)
c. The student either male or prefer face-to face learning.
(2 marks)
Each student should select three different states from different regions in Oman about the cases
of infection and recovering taken from the Supreme Committee about the spread of Coronavirus
(COVID-19) in a particular day. (Remark: take a screenshot as evidence). Then obtained your
result in the following table:
States
Infection
Recovery
A
B
C
Based on the result, find the probability that the selected person is:
a. from state B or he is recovered.
(3 marks)
b. recovered given that he is from state C.
(2 marks)
c. from state B given that he is infected.
(2 marks)
d. infected or from state A.
(3 marks)
MEC_AMO_TEM_034_01
Page 3 of 13
Mathematics and Statistics – Spring 2020 – CW2 (Assignment 2) –All – QP
Waleed decided to construct a probability distribution of tossing five coins. He considers his
random variable, 𝑋, to be the number of Tails on all five coins.
a. List the sample space for the experiment.
(2 marks)
b. What are the possible values for 𝑋?
(2 mark)
c. Construct a probability distribution for his experiment.
(3 marks)
d. Find 𝐸(−4𝑥 + 16).
(3 marks)
e. Find 𝑉(−6𝑥).
(5 marks)
If the following table represent a probability distribution with an expected value of 9.
𝑋
1
3
5
7
9
11
13
𝑃(𝑥)
2a
4a
𝑥a
8a
10a
12a
14a
Find the followings:
a. unknowns 𝒙 and 𝒂.
(3 marks)
b. Standard deviation.
(5 marks)

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