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The regression equation of y on x and that of x on y are
8x −10y + 66 = 0
and 40x −18y = 214 respectively, and the variance of x is 9.
(i) Find σy .
8x −10y + 66 = 0
and 40x −18y = 214 respectively, and the variance of x is 9.
(i) Find σy .
If T = θU , where θ is an unknown parameter and U is a random variable having a
chi-square distribution with n degrees of freedom ( n being known), then an
unbiased estimator of θ is T/2n
chi-square distribution with n degrees of freedom ( n being known), then an
unbiased estimator of θ is T/2n
Math
The cost vector in a LPP becomes an activity vector in its dual problem. Is it true or false?
Obtain the directional derivative for a scalar field at the poin
A box is to have square base an open top and volume of 32 meter cube.find the dimension of the box that box that use the last amount of material.
Math
0 x 4x 8
4 3
+ + = .Descartes’ method
4 3
+ + = .Descartes’ method
Math
Find the values of a ∈R for which ia is a solution of 0 z z2 z7 z4 10 4 3 2
− + − + = .
Also find all the roots of this equation.
− + − + = .
Also find all the roots of this equation.
Math
Obtain the resolvent cubics, by Descartes’ method and by Ferrari’s method, of the
equation 0 x 4x 8
4 3
+ + = . Are the cubics the same? Further, use either method to
obtain the roots of this equation.
equation 0 x 4x 8
4 3
+ + = . Are the cubics the same? Further, use either method to
obtain the roots of this equation.
Evaluate ∫ ∞ +0 24 4
dx
)x1( x
using a reduction formula for the product of trigonometric
functions.
dx
)x1( x
using a reduction formula for the product of trigonometric
functions.
Math
Express the following situation in a Venn diagram:
In a survey of 60 women, it is found that 25 have studied upto Class 12 only, 10
have studied till Class 10 only, 26 got scholarships, 9 of those studying till Class 12
got scholarships, 8 of those studying till Class 10 got scholarships, and 11 had
completed their BA degree.
In a survey of 60 women, it is found that 25 have studied upto Class 12 only, 10
have studied till Class 10 only, 26 got scholarships, 9 of those studying till Class 12
got scholarships, 8 of those studying till Class 10 got scholarships, and 11 had
completed their BA degree.
