Scribd
Upload
92 views1 page

LAS

This document is an assignment for B.Tech first-year students at G H Raisoni University, focusing on Linear Algebra and Statistics. It includes questions on regression, correlation, random variables, and probability distributions, requiring students to solve various mathematical problems. The assignment is structured into two main questions with sub-questions that test understanding of key statistical concepts.

Uploaded by

jattsingha12
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
92 views1 page

LAS

This document is an assignment for B.Tech first-year students at G H Raisoni University, focusing on Linear Algebra and Statistics. It includes questions on regression, correlation, random variables, and probability distributions, requiring students to solve various mathematical problems. The assignment is structured into two main questions with sub-questions that test understanding of key statistical concepts.

Uploaded by

jattsingha12
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
You are on page 1/ 1

G H RAISONI UNIVERSITY, AMRAVATI

School of Engineering & Technology


B . Tech First year Engineering
Branch:Computer Science & Engineering (Sem-II)
SESSION: 2024-25 (S-2025)
(DETENTION) ASSIGNMENT
COURSE: LINEAR Algebra and Statistics

Q.1 Solve the following questions


A) i) What is regression? (1M) CO3

ii) The coefficient of correlation lies between (1M) CO3


a) 0 & 1 b) 0 & -1 c) -1 & 1 d) -1 & 0
iii) For perfect positive correlation, the coefficient of correlation should be (1M) CO3
a) ±1 b) +1 c) -1 d) 0
Q.1 Solve Any Two
B) i) Fit a straight line 𝒚 = 𝒂 + 𝒃𝒙 by the method of least square to the following data (6M) CO3
x 1 2 3 4 5
y 7 9 13 12 15

ii) Find the mean & median for the following data (6M) CO3
x 1 2 3 4 5 6 7 8 9
f 8 10 11 16 20 25 10 9 6
iii) Find the coefficient of correlation for the following data (6M) CO3
x 6 2 10 4 8
y 9 11 5 8 7

Q.2 Solve the following questions


A) i) What is random variable. (1M) CO4
ii) Define mode (1M) CO4
iii) Define mean (1M) CO4

Q. 2 Solve Any Two


B) i) A discrete random variable has the following probability function (6M) CO4
X 0 1 2 3 4 5 6
P(X) k 3k 5k 7k 9k 11k 13k
Find i) k ii) P(X<1) iii) P(X≥4)
ii) A variable X has the probability distribution (6M) CO4
X -3 6 9
P(X) 1/6 1/2 1/3
Find i)E(X) ii) E(X2)
iii) If X is continuous random variable with probability density function given by (6M) CO4
f(x)= kx for 0≤x<2
=2k for 2≤x<4
=-kx+6k for 4≤x<6 Find K and mean value of X

You might also like