lf abasic feasible solution to a transportation problem contains less' than m + n - 1 allocations, it is called a_________basic feasible solution

The multiplicative model bf the time series with the components T, S, C and I is __________

The marks second by 400 students in mathematics test were nolmally distributed, with mean 65. If 120 students got more marks above 85, the number of students securing between 45 and 65 is ____________

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

A probability distribution function is defined by \(F(x)\begin{cases} 0,\ x<0 \\ 1-{ e }^{ -x },\ x\ge 0 \end{cases}\) The probability density function is __________

The solution of \(\frac { dp }{ dt } \) = ke^-t (k is a constant) is _____________

\(\int { { 3 }^{ x+2 } } \) dx = ______________ +c

The backward difference operator ∇ is ______________

The area lying above the X-axis and under the parabola y = 4x - x² is ______ sq. units

If the minor of a₂₃ = the co-factor of a₂₃ in |a_ij| then the minor of a₂₃ is |a_y| then the minor of a₂₃ is ________

If f (x)=x²  + 2x + 2 and the interval of differencing is unity then Δf (x) _______.

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

If c is a constant then Δc = _______.

Δf(x) = _______.

A type of decision –making environment is _______.

In an assignment problem involving four workers and three jobs, total number of assignments possible are _______.

Solution for transportation problem using ________method is nearer to an optimal solution.

The Penalty in VAM represents difference between the first ________.

The solution of the differential equation \(\frac { dy }{ dx } =\frac { y }{ x } +\frac { f\left( \frac { y }{ x } \right) }{ f'\left( \frac { y }{ x } \right) } \) is ______.

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

The complementary function of (D²+ 4)y = e^2x is ______.

The order and degree of the differential equation \(\left(\frac{d^{2} y}{d x^{2}}\right)^{\frac{3}{2}}-\sqrt{\left(\frac{d y}{d x}\right)}-4=0\) are respectively ______.

R is calculated using ________.

Which of the following Index number satisfy the time reversal test?

Least square method of fitting a trend is ________.

Factors responsible for seasonal variations are ________.

Type I error is  ______.

_______ is a relative property, which states that one estimator is efficient relative to another.

In ________ the heterogeneous groups are divided into homogeneous groups.

A __________ of statistical individuals in a population is called a sample.

\(\int _{ 0 }^{ \frac { \pi }{ 3 } }\)tanx dx is _______.

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

ഽ\(\frac { { e }^{ x } }{ { e }^{ x }+1 } \) dx is _______.

ഽ2^xdx is _______.

The weights of newborn human babies are normally distributed with a mean of 3.2 kg and a standard deviation of 1.1 kg. What is the probability that a randomly selected newborn baby weighs less than 2.0 kg?

Forty percent of the passengers who fly on a certain route do not check in any luggage. The planes on this route seat 15 passengers. For a full flight, what is the mean of the number of passengers who do not check in any luggage?

 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 Z is a standard normal variate, the proportion of items lying between Z = –0.5 and Z = –3.0 is ________.

If c is a constant in a continuous probability distribution, then p(x = c) is always equal to ________.

If X is a discrete random variable and p(x) is the probability of X, then the expected value of this random variable is equal to ________.

Probability which explains x is equal to or less than particular value is classified as ________.

Value which is obtained by multiplying possible values of random variable with probability of occurrence and is equal to weighted average is called ________.

Area bounded by y = \(\left| x \right| \) between the limits 0 and 2 is ________.

For a demand function p, if \(\int \frac{d p}{p}=k \int \frac{d x}{x}\) then k is equal to ________.

The demand function for the marginal function MR = 100 − 9x² is ________.

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

If \(\rho (A)\) = r  then which of the following is correct?

The rank of the matrix  \(\left( \begin{matrix} 1 & 1 & 1 \\ 1 & 2 & 3 \\ 1 & 4 & 9 \end{matrix} \right) \) is ________.

if T = \(_{ B }^{ A }\left( \begin{matrix} \overset { A }{ 0.4 } & \overset { B }{ 0.6 } \\ 0.2 & 0.8 \end{matrix} \right) \) is a transition probability matrix, then at equilibrium A is equal to ________.

The rank of m x n matrix whose elements are unity is ________.