Given f(x,y)= 8xy, when 0<=x<=1, 0<=y<=x and f(x,y)=0 elsewhere, find (i) Marginal density of x (ii) Marginal density of y (iii) Conditional density of x (iv) Conditional density of y
SIKSHAPATH Latest Questions
Compute the rank correlation co-efficient for the following data: Sr. no. 1 2 3 4 5 6 7 8 9 X: 10 15 12 17 13 16 24 14 22 Y: 30 42 45 46 33 34 40 35 39
A computer while calculating correlation coefficient between two variables X and Y from 25 pairs of observations obtained the following results : n=25, ∑ X= 125, ∑ X^2=650, ∑ Y=100, ∑ Y^2= 460, ∑ XY =508. If was, however, later ...
A random sample of size 16 has 53 as mean. The sum of squares of the deviation from mean is 135. Can this sample be regarded as taken from the population having 56 as mean ? Obtain 95% and 99% ...
Fit the parabola is Y=a X^2+bX+c for the data x: 1, 3, 4 , 6 ,8 ,9, 11, 14 and y: 1,2, 4, 4, 5, 7, 8, 9.
A die is thrown 276 times and the results of these throws are given below: No. appeared on the die: 1 2 3 4 5 6 Frequency: 40 32 29 59 57 59 Test whether the die is biased or not ?