Solve your IGNOU Doubts

Question:

Out of 90 applicants for a job, 60 people get selected after the interview. If five applicants are selected at random, calculate the probability that 2 will get selected.

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Question:

A random variable X has the following probability distribution: $f(x)=\left\{\begin{matrix} \frac{4}{\pi (1+x^{2})}\, for &0<x<1 \\0 & elsewhere \end{matrix}\right.$

Calculate E(X)

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Question:

An unbiased coin is tossed three times. If A is the event that a head appears on each of the first two tosses, B is the event that a tail occurs on the third toss and C is the event that exactly two tails appear in the three tosses, show that:

i) Events A and B are independent
ii) Events B and C are dependent.

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Question:

Using Green’s Theorem evaluate the integral $\oint_{C}^{}(xydx+x^{2}y^{2}dy)$ where C is the triangle with vertices (0,0),(1,0) and (1,2).

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Question:

show that $\vec{\bigtriangledown }\left ( \frac{r}{1+r^{2}} \right )=\frac{1-r^{2}}{(1+r^{2})^{2}}\hat{e_r}.$

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Question:

Discuss the important features of structure of cellulose giving suitable diagram.

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Question:

(b) Explain mutarotation in glucose.

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Question:

(a) Explain the cyctic hemiacetal formation by glucose.

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Question:

How is C-terminal indentified in a peptide or a protein? Discuss.

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Question:

(b) What is bradykinin? Give its role?

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Question:

(a) Briefly explain this general structure and classification of peptides.

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Question:

(b) What is cope elimination? Give reaction.

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Question:

(a Discuss the preparation of 2-aminobutanoic acid using Strecker synthesis.

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Question:

Discuss the Hinsberg test for distinguishing primary, secondary and tertiary amines.

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Question:

Differentiate between Sandmeyer reaction and Gattermann reaction giving suitable examples.

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Question:

Briefly explain Hofmann elimination. Also give the importance of this reaction.

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Question:

Using Stokes’ theorem evaluate $\int_c\vec{F}.d\vec{l}$ where $\vec{F}=y\hat{i}+xz^{3}\, \hat{j}-zy^{3}\hat{k}$ and C is the circle $x^{2}+y^{2}=4;z=-3.$