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

(a)

log\(\left| \frac { { e }^{ x } }{ { e }^{ x }+1 } \right| +c\)

(b)

log\(\left| \frac { { e }^{ x }+1 }{ { e }^{ x } } \right| +c\)

(c)

log\(\left| { e }^{ x } \right| +c\)

(d)

log\(\left| { e }^{ x }+1 \right| +c\)

For a demand function p, if \(\int \frac{d p}{p}=k \int \frac{d x}{x}\) then k is equal to ________.

(a)

\(\eta \)_d

(b)

-\(\eta \)_d

(c)

\(\frac{-1}{\eta_{d}}\)

(d)

\(\frac{1}{\eta_{d}}\)

The area below the demand curve p = f(x) and above the line p = p_o is________.

(a)

Producer's Surplus

(b)

Consumer's Surplus

(c)

\(\int _{ 0 }^{ p0 }{ g(x)dx } \)

(d)

\(\int _{ 0 }^{ x0 }{ g(x)dx } \)

If X is a discrete random variable then which of the following is correct?

(a)

0 ≤ F(x) ≤ 1

(b)

F(-∞) = 0,F(∞) ≤ 1

(c)

P(X = X_n) = F(X_n)-F(X_n-1)

(d)

F(x) is a constant function

In a Poisson distribution mean is 25, then S.D is ___________

(a)

5

(b)

625

(c)

125

(d)

\(\sqrt{5}\)

If the variance of a Poisson distribution is 0.5. Then p(X = 3) is _________ (e^-0.5= 0.6066)

(a)

0.1206

(b)

0.0126

(c)

0.1260

(d)

12.60

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

(a)

Harper

(b)

Fisher

(c)

Karl Pearson

(d)

Dr. Yates

If α is the level of significance. then the confidence Co-efficient is

(a)

α

(b)

1

(c)

1-α

(d)

1+α

Least square method of fitting a trend is ________.

(a)

Most exact

(b)

Least exact

(c)

Full of subjectivity

(d)

Mathematically unsolved

Choose the odd one out

(a)

It aims at a certain quality level to be guaranteed to the customers

(b)

It is easy to interpret

(c)

It is easy to construct

(d)

It has three control lines