Anonymous

### Question Description

1. Show that the following function satisfies the properties of joint probability mass function. [3 marks]

-1 -2 1/8

-0.5 -1 ¼

0.5 1 ½

1 2 1/8

Also, Find ).

2. Determine the value of that makes the function a joint probability density function over

the range and Also, find [3 marks]

3. Determine the covariance and correlation for the following joint probability distribution. [3 marks]

-1 -0.5 0.5 1

-2 -1 1 2

1/8 1/5 1/2 7/40

4. The grams of solids removed from a material is thought to be related to the drying time. Ten

observations obtained from an experimental study follow: [3 marks]

y 4.3 1.5 1.8 4.9 4.2 4.8 5.8 6.2 7.0 7.9

x 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5

Calculate the following quantities:

1)

2)

3)

5. Using the information provided in the table of question number 4. Find the following: [3 marks]

a) The slope

b) Intercept

c) Equation of regression line

### Unformatted Attachment Preview

CAS-Sohar Probability and Statistics (STAT2111) Spring - 2020 College of Applied Sciences – Sohar Department of General Requirements Probability and Statistics (STAT2111) Assignment-1 _______________________________________________________________________________________________________ Group: Student I.D: Student Name: Date of Submission – On or before 25/04/2020 Max. Marks: 15 Instructions for students: 1) Submit the assignment as a pdf or jpeg via email or Blackboard. 2) Write the assignment using pen only. 3) Once the assignment is submitted, no updated versions are accepted. 4) Write your Name and ID, Course Title and Section in on each page of your assignment. 5) Submit your own work and do not copy the work of other students. If found, both students will be given zero marks. Probability and Statistics (STAT2111) CAS-Sohar Spring - 2020 Answer all the questions. 1. Show that the following function satisfies the properties of joint probability mass function. [3 marks] -1 -0.5 0.5 1 -2 -1 1 2 Also, Find ). 1/8 ¼ ½ 1/8 2. Determine the value of that makes the function the range and Also, find a joint probability density function over [3 marks] 3. Determine the covariance and correlation for the following joint probability distribution. [3 marks] -1 -2 1/8 -0.5 -1 1/5 0.5 1 1/2 1 2 7/40 4. The grams of solids removed from a material is thought to be related to the drying time. Ten observations obtained from an experimental study follow: [3 marks] y x 4.3 2.0 1.5 2.5 1.8 3.0 4.9 3.5 4.2 4.0 4.8 4.5 5.8 5.0 6.2 5.5 7.0 6.0 7.9 6.5 Calculate the following quantities: 1) 2) 3) 5. Using the information provided in the table of question number 4. Find the following: [3 marks] a) The slope b) Intercept c) Equation of regression line ...
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