If c is a constant then Δc = _______.

Δf(x) = _______.

A type of decision –making environment is _______.

The solution for an assignment problem is optimal if _______.

If number of sources is not equal to number of destinations, the assignment problem is called______.

In a non – degenerate solution number of allocations is _______.

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

The degree of the differential equation \(\frac { { d }^{ 4 }y }{ { dx }^{ 4 } } { -\left( \frac { { d }^{ 2 }y }{ { dx }^{ 2 } } \right) }^{ 4 }+\frac { dy }{ dx } =3\) ______.

\(\overset {-}{X}\) chart is a ________.

Variations due to natural disorder is known as ________.

The quantities that can be numerically measured can be plotted on a ________.

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

Laspeyre’s index = 110, Paasche’s index = 108, then Fisher’s Ideal index is equal to: ________.

The seasonal variation means the variations occurring with in ________.

The component of a time series attached to long term variation is trended as ________.

The components of a time series which is attached to short term fluctuation is ________.

A time series consists of ________.

A time series is a set of data recorded ________.

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.

If probability \(P[|\hat{\theta}-\theta|<\varepsilon] \rightarrow 1\) as \(n \rightarrow \infty\), for any positive \(\varepsilon \) then \(\hat{\theta}\) is said to ________ estimator of \(\theta\).

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

In ________ the heterogeneous groups are divided into homogeneous groups.

Which one of the following is probability sampling

A random sample is a sample selected in such a way that every item in the population has an equal chance of being included ______.

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

ഽ2^xdx is _______.

In a binomial distribution, the probability of success is twice as that of failure. Then out of 4 trials, the probability of no success is ________.

If P(Z > z) = 0.8508 what is the value of z (z has a standard normal distribution)?

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?

The time until first failure of a brand of inkjet printers is normally distributed with a mean of 1,500 hours and a standard deviation of 200 hours. What proportion of printers fails before 1000 hours?

In a large statistics class the heights of the students are normally distributed with a mean of 172 cm and a variance of 25 cm. What proportion of students are between 165 cm and 181 cm in height?

The starting annual salaries of newly qualified chartered accountants (CA’s) in South Africa follow a normal distribution with a mean of  Rs.180,000 and a standard deviation of Rs. 10,000. What is the probability that a randomly selected newly qualified CA will earn between Rs. 165,000 and Rs. 175,000 per annum?

The random variable X is normally distributed with a mean of 70 and a standard deviation of 10. What is the probability that X is between 72 and 84?

Which of the following statements is/are true regarding the normal distribution curve?

The average percentage of failure in a certain examination is 40. The probability that out of a group of 6 candidates atleast 4 passed in the examination are ________.

If for a binomial distribution b(n,p) mean = 4 and variance = 4/3, the probability, P(X ≥ 5) is equal to ________.

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

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

A discrete probability function p(x) is always non-negative and always lies between ________.

An expected value of a random variable is equal to it’s ________.

E[X-E(X)]² is ________.

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

A probability density function may be represented by ________.

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

Given E(X)=5 and E(Y)=−2, then E(X−Y) is ________.

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

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

The marginal revenue and marginal cost functions of a company are MR = 30 − 6x and MC = −24 + 3x where x is the product, then the profit function is ________.

The rank of the diagonal matrix\(\left( \begin{matrix} 1 & & \\ & 2 & \\ & & -3 \end{matrix}\\ \quad \quad \quad \quad \quad \quad \quad \begin{matrix} 0 & & \\ & 0 & \\ & & 0 \end{matrix} \right) \)

The rank of the unit matrix of order n is ________.