Reference no: EM132971412
MASC 10005 Statistics - Middle East College
Learning Outcome 1: Describe different types of data and summarizing data.
Learning Outcome 2: Calculate summary measures.
Learning Outcome 3: Evaluate the measures of association between two variables.
Learning Outcome 4: Calculate probabilities of different types of events and compute probability distributions.
Learning Outcome 5: Compute probabilities using discrete probability distributions and continuous probability distributions.
Learning Outcome 6: Use software packages, to analyze information and to propose solutions of application problems.
Assignment Objective
To assess learning emphasized on the development of students' ability to use statistics concepts for statistical analysis, finding probability distribution and solving problems.
Assignment Tasks
Task 1
Data collection
a) Based on true statistics, list the number of confirmed cases of coronavirus COVID-19 from 1st of July to 30th of July 2021. (Note: each student must choose different statistics from World country and you must take a screenshot of the data).
Data Analysis
b) Organize the number of confirmed cases of coronavirus COVID-19 in a frequency table of 6 classes with suitable class width (class interval). (You have to construct a table with classes, frequency, cumulative frequency, relative frequency, and percent relative frequency).
c) Represent the number of confirmed cases of coronavirus COVID-19 by suitable graphs (minimum 1 graph).
d) Find the Mean and standard deviation of the number of confirmed cases of coronavirus COVID-19.
e) Collect the weights (Kg) and heights (cm) of 10 members from your family or relatives and then find the Correlation coefficient between weights and heights.
Task 2
a) Suppose that you have done a survey to know the students majors in your city. The survey results in two attributes, gender and major as in the following table. Complete the data of the table below by using your ID number "R" and then solve the questions below.
If a student selected at random, find the probability that:
|
|
Male
|
Female
|
|
Business
|
R+2
|
R+3
|
|
IT
|
R+4
|
R+5
|
|
Engineering
|
R+6
|
R+7
|
i. Selected student is Male student.
ii. selected student Major is Engineering.
iii. selected student Major is Not IT.
iv. Selected student is Male and his Major is Business.
v. Selected student is Female student or her Major is IT.
vi. Selected student Major is Engineering given that he is Male student.
b) The number of mobiles sold in a hour by a mobile dealer in Muscat has the following probability distribution:
|
No. of Mobiles
|
5
|
10
|
12
|
15
|
20
|
24
|
|
Probability
|
0.10Ra
|
0.20Ra
|
0.40Ra
|
0.20Ra
|
0.10Ra
|
Ra
|
i. Find the unknown a.
ii. Find the expected number of sold mobiles in one hour.
iii. Find E(Rx+5).
iv. Find V(Rx-9).
c) The compressive strength of samples cement can be modelled by a normal distribution with a mean of (6000+R) kilograms per square centimetre and a standard deviation of (100+R) kilograms per square centimetre.
i. What is the probability that a sample's strength is less than 5500 kg/cm2 ?
ii. What is the probability that a sample's strength is more than 6350 kg/cm2
iii. What is the strengths in Kg/ cm2 that R % of the cements exceed?
iv. What is the probability that a sample's strength is between 5700 and 5850 kg/cm2?