The normal -equations in fitting a line y = ax + b, by the method of least squares over n points are 4 = 4a + b and Σxy = 120a + 24b. Then n = _____

The normal equations of fitting a straight line y = ax+ b are 10a + 5b = 15 and 30a + 10b = 43. The slope of the line of best fit is _____

Most commonly used index numbers are _________ index number

If α is the level of significance. then the confidence Co-efficient is

If 55 is the mean mark obtained by a sample of 5 students randomly drawn from a class of 100 students is considered to the means marks of the entire class. This single value 55 is a

In a poison distribution, mean is 16, then standard deviation is ___________

The area under the standard normal curve between Z=-∞ and z=∞ is

μ₂ = 20, μ¹₂ = 276 for a discrete random variable X. Then the mean of the random variable. X is _________

Variance of the random variable. X is 4, Its mean is 2. Then E(X²) is _________

To assign different jobs to the different machines to minimize the overall cost is ___________

A set of non-negative values that satisfies the constants in a transportation problem is a ___________

The integrating factor of \(\frac { dy }{ dx } +\frac { 2y }{ x } \)= x³ is _____________

The integrating factor of (1+x²)\(\frac { dy }{ dx } \)+xy = (1+x²)³ is _____________

\(\int _{ 1 }^{ 4 }{ f\left( x \right) } dx,\) where f(x) =  \(\begin{cases} 7x+3\quad if\quad 1\le x\le 3 \\ 8x\quad if\quad 3\le x\le 4 \end{cases}\) is _____________.

If \(\int { \frac { { 2 }^{ \frac { 1 }{ x } } }{ { x }^{ 2 } } } dx=k{ 2 }^{ \frac { 1 }{ x } }\) +c, then k is ___________

If A, B are two n x n non-singular matrices, then ___________

For what value of k, the matrix \(A=\left( \begin{matrix} 2 & k \\ 3 & 5 \end{matrix} \right) \) has no inverse?

Newton's backward interpolation formula is used when the value of y is required at the __________ of the table.

E [f(x₀)] is ______________

The value of \(\int _{ -3 }^{ 2 }{ |x+1| } dx\) is______.

The area of the region bounded by the line y = 3x + 2, the X-axis and the ordinates x = - 1 and x = 1is_________ sq. units.

For the given points (x₀, y₀) and (x₁, y₁) the Lagrange’s formula is _______.

E ≡ _______.

North-West Corner refers to ________.

The transportation problem is said to be unbalanced if _______.

The complementary function of \(\frac { { d }^{ 3 }y }{ d{ x }^{ 3 } } -\frac { dy }{ dx } \) = 0 is ______.

The integrating factor of the differential equation \(\frac{dx}{dy}+Px=Q\) is ______.

A typical control charts consists of ________.

In ________ the heterogeneous groups are divided into homogeneous groups.

A ________ may be finite or infinite according as the number of observations or items in it is finite or infinite.

\(\Gamma (1)\) is _______.

\(\int _{ 0 }^{ 1 }{ \sqrt { { x }^{ 4 }({ 1-x) }^{ 2 } } } dx\) is _______.

Monthly expenditure on their credit cards, by credit card holders from a certain bank, follows a normal distribution with a mean of  Rs. 1,295.00 and a standard deviation of Rs. 750.00. What proportion of credit card holders spend more than Rs. 1,500.00 on their credit cards per month?

 In turning out certain toys in a manufacturing company, the average number of defectives is 1%. The probability that the sample of 100 toys there will be 3 defectives is ________.

If p(x) =\(\frac{1}{10}\), c = 10, then E(X) is ________.

A variable that can assume any possible value between two points is called ________.

When x₀ = 2 and P₀ = 12 the producer’s surplus for the supply function P_s = 2x² + 4 is ________.

Area bounded by the curve y = x (4 − x) between the limits 0 and 4 with x − axis is ________.

Cramer’s rule is applicable only to get an unique solution when _______.

For the system of equations x + 2y + 3z = 1, 2x + y + 3z = 2, 5x + 5y + 9z = 4 _______.