Probability and complex function: Unit II: Two dimensional random variables
Exercise 2.2 (Covariance, correlation and regression)
Problems with Answer | Two dimensional random variables
Probability and complex function: Unit II: Two dimensional random variables : Exercise 2.2
EXERCISE 2.2
1.
For the given data, find the correlation co-efficient between X and Y.
2.
Ten students got the following percentage of marks in Economics and Statistics.
Calculate the correlation co-efficient.
3.
Find the correlation co-efficient between sales and expenses of the following
10 firms.
4.
The following marks have been obtained by a class of students in English. Find
the correlation co-efficient.
5.
Calculate the Karl Pearson's co-efficient of correlation from the following data.
6.
Find the correlation co-efficient between X and Y given in table.
7.
Find the correlation co-efficient between the height of fathers(X) and height
of sons (Y) given below :
8.
Find the rank correlation co-efficient of ranks of 8 candidates in Maths and
English as given below:
9.
Let the random variable X have the marginal density function
g(x)
= 1,-1/2 < x < 1/2 and let the
conditional density of Y be
h
(y / x) = 1, x < y < x + 1, -1/ 2 < x < 0
=
1, − x < y < 1 - x, 0 < x < 1/2
S.T
the variables X and Y are uncorrelated.
10.
Let X and Y be random variables having joint density function
11.
If ƒ (x,y) = 1/8 (6 − x − y), 0 ≤ x ≤ 2, 2 ≤ y ≤ 4, find rXY.
Probability and complex function: Unit II: Two dimensional random variables : Tag: : Problems with Answer | Two dimensional random variables - Exercise 2.2 (Covariance, correlation and regression)
Related Topics
Related Subjects
Probability and complex function
MA3303 3rd Semester EEE Dept | 2021 Regulation | 3rd Semester EEE Dept 2021 Regulation