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For the differential equation, find the particular solution (x – y2x) dx – (y + x2y) dy = 0 when x = 2, y = 0
Concept: Differential Equations
A fair coin is tossed 8 times. Find the probability that it shows heads at least once
Concept: Bernoulli Trials and Binomial Distribution
Given X ~ B (n, p)
If n = 10 and p = 0.4, find E(X) and var (X).
Concept: Bernoulli Trials and Binomial Distribution
The probability mass function for X = number of major defects in a randomly selected
appliance of a certain type is
| X = x | 0 | 1 | 2 | 3 | 4 |
| P(X = x) | 0.08 | 0.15 | 0.45 | 0.27 | 0.05 |
Find the expected value and variance of X.
Concept: Variance of Binomial Distribution (P.M.F.)
Given X ~ B(n, p) if p = 0.6 and E(X) = 6, find n and Var(X).
Concept: Mean of Binomial Distribution (P.M.F.)
If the mean and variance of a binomial distribution are 18 and 12 respectively, then n = ______.
Concept: Binomial Distribution
The probability that certain kind of component will survive a check test is 0.6. Find the probability that exactly 2 of the next 4 tested components survive
Concept: Mean of Binomial Distribution (P.M.F.)
If X ~ B (n, p) and E(X) = 6 and Var (X) = 4.2, then find n and p.
Concept: Variance of Binomial Distribution (P.M.F.)
One of the important trends in post-1989 international relations was ______.
Concept: End of Cold War and Rise of New States
The ‘Maastricht’ Treaty is with reference to the ______.
Concept: Regionalism in the Post-Cold War Era
State the appropriate concept for the given statement.
When a state influences other states without the use of military force.
Concept: Emergence of Unipolarity
Express your opinion.
Regionalism in international politics.
Concept: Regionalism in the Post-Cold War Era
Maastricht Treaty ______.
Concept: Regionalism in the Post-Cold War Era
Explain the correlation of the following statement.
Multipolar and regionalism
Concept: Multipolarity and Regionalism
Explain the structure of the European Union.
Concept: Regionalism in the Post-Cold War Era
Observe the given map and answer the following question:
State/mention any 'five' newly created countries after the disintegration of the Soviet Union.
Concept: End of Cold War and Rise of New States
Explain the co-relationship between the following:
Economic interest and formation of Trade blocs.
Concept: Regionalism in the Post-Cold War Era
The term ‘socialist market economy’ is used to describe the system in ______.
Concept: Ideological Issue since 1991
Find the odd one out.
Concept: Technology Issue since 1991
State whether the following statement is true or false with reason.
Globalisation brought in the concept of the market economy.
Concept: Globalisation Issue since 1991
