Cyclic variations in a time series are caused by __________

E f (x)= _______.

A type of decision –making environment is _______.

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

Which of the following is the homogeneous differential equation?

The differential equation formed by eliminating A and B from y = e^−2x(A cos x + B sin x) is ______.

The differential equation formed by eliminating a and b from \(y=a e^{x}+b e^{-x}\) is ______.

While computing a weighted index, the current period quantities are used in the: ________.

The value of ‘b’ in the trend line y = a + bx is ________.

An estimate of a population parameter given by two numbers between which the parameter would be expected to lie is called an………..interval estimate of the parameter.

A _______is one where each item in the universe has an equal chance of known opportunity of being selected.

Using the factorial representation of the gamma function, which of the following is the solution for the gamma function \(\Gamma \)(n) when n = 8 _______.

ഽ\(\frac { dx }{ \sqrt { { x }^{ 2 }-{ 36 } } } \) is _______.

ഽ\(\frac { sin2x }{ 2sinx } dx\) 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?

Which of the following cannot generate a Poisson distribution?

If X ~ N(μ, σ²), the maximum probability at the point of inflexion of normal distribution is ________.

The probability function of a random variable is defined as

X=x	-1	-2	0	1	2
P(x)	K	2K	3K	4K	5K

Then k is equal to ________.

E[X-E(X)] is equal to ________.

Demand of products per day for three days are 21, 19, 22 units and their respective probabilities are 0.29, 0.40, 0.35. Profit per unit is 0.50 paisa then expected profits for three days are ________.

If MR and MC denote the marginal revenue and marginal cost and MR − MC = 36x − 3x² − 81 , then the maximum profit at x is equal to ________.

The demand and supply functions are given by D(x)= 16 − x² and S(x) = 2x² + 4 are under perfect competition, then the equilibrium price x is ________.

If the number of variables in a non-homogeneous system AX = B is n, then the system possesses a unique solution only when _______.

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