In the month of January, the number of cases diagnosed of influenza epidemic are given in the following table:

Date	1	2	3	4	5	6	7
Number of cases	2	0	5	12	20	27	46

The 3-day moving averages are:

The maximum profit that a company can make if the profit function is
\(P(x)=41+24 x-18 x^2\) is :

A random variable \(X\) follows Poisson distribution such that P(X = 1) = 2P(X = 2), then P(X = 0) is:

The probability distribution of a random variable \(X\) is given under :
\(
P(X=x)=\left\{\begin{array}{ll}
k x^2 & \text { for } x=1,2,3 \\
2 k x & \text { for } x=4,5,6 \\
0 & \text { for otherwise }
\end{array}\right.
\)
Then \(P(X \geq 4)\) is :

The rate of change of the area of an equilateral triangle with respect to its side when its side \(=2\) is :

According to the graph drawn here, identify the constraints of the associated linear programming problem :

In a binomial distribution, the probability of getting success is \(1 / 4\) and standard deviation is 3 . Then it's mean is:

Which of the following statements are correct?
A. \(\text{CuI}_2\) is not known.
B. \(\text{Cu}_2\text{I}_2\) is known.
C. \(\text{Cu}^{2+}\) ion oxidises \(\text{I}^-\text{}\) to \(\text{I}_2\).
D. \(\text{Cu}^{2+}\) ion does not oxidise \(\text{I}^-\text{}\) to \(\text{I}_2\).

Which of the following is a statistic?

What is the structure of anionic coordination sphere in \(\left[ Cr \left( NH _3\right)_6\right]\left[ CuCl _5\right]\) complex?

Match List-l with List-II:

List-I (Placental mammals)	List-II (Counterpart Marsupials)
(A) Anteater	(I) Spotted cuscus
(B) Bobcat	(II) Numbat
(C) Lemur	(III) Flying Phalanger
(D) Flying squirrel	(IV) Tasmanian tiger cat

Choose the correct answer from the options given below:

Match List I with List - II. -

List - I	List - II
(A) Linkage	(I) Trisomy of 21st chromosome
(B) Pleiotropy	(II) Multiple alleles
(C) Down's syndrome	(III) T.H. Morgan
(D) Blood group	(IV) Phenylketonuria

Choose the correct answer from the options given below:

Answer the question on the basis of passage given below:
In the periodic table, the d-block contains the elements of group \(3\) to \(12\). The d-orbitals are progressively filled in each of the four long periods. The elements of d block referred as transition metals have partly filled d orbitals and exhibit certain characteristic properties such as variety of oxidation states, formation of coloured ions, act as catalyst and show paramagnetic behaviour.
The two inner transition metals series \(4f\) and \(5f\) are known as Lanthanoids and Actinoids respectively. The lanthanoids resemble one another more closely as compared to ordinary transition elements in any series.
For the four successive transition elements given below, the stability of +2 oxidation state will be:
A. \(\operatorname{Cr}( Z =24)\)
B. \(Mn ( Z =25)\)
C. \(Fe ( Z =26)\)
D. \(Co ( Z =27)\)
Choose the correct answer from the options given below: