Value which is obtained by multiplying possible values of random variable with probability of occurrence and is equal to weighted average is called ________.

(a)

Discrete value

(b)

Weighted value

(c)

Expected value

(d)

Cumulative value

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

(a)

discrete probability

(b)

cumulative probability

(c)

marginal probability

(d)

continuous probability

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

(a)

discrete random variable

(b)

continuous random variable

(c)

discrete sample space

(d)

random variable

If X is a discrete random variable and p(x) is the probability of X, then the expected value of this random variable is equal to ________.

(a)

\(\sum { f(x) } \)

(b)

\(\sum[x+f(x)]\)

(c)

\(\sum { f(x)+x } \)

(d)

\(\sum { xp(x) } \)

If c is a constant, then E(c) is ________.

(a)

0

(b)

1

(c)

c f (c)

(d)

c

A probability density function may be represented by ________.

(a)

table

(b)

graph

(c)

mathematical equation

(d)

both (b) and (c)

If \(f(x)=\left\{\begin{array}{lc} k x^{2} & 0  if a p.d.f. then the value of k is ___________

(a)

\(\frac{1}{3}\)

(b)

\(\frac{1}{6}\)

(c)

\(\frac{1}{9}\)

(d)

\(\frac{1}{12}\)

A random variable X has the following probability mass function

X	-2	3	1
P(X=x)	\(\frac{\lambda}{6}\)	\(\frac{\lambda}{4}\)	\(\frac{\lambda}{12}\)

Then λ is

(a)

1

(b)

2

(c)

3

(d)

4

Variance of the random variable. X is 4, Its mean is 2. Then E(X²) is _________

(a)

2

(b)

4

(c)

6

(d)

8

If f(x) = cx², 0

(a)

\(\frac{1}{3}\)

(b)

\(\frac{4}{3}\)

(c)

\(\frac{8}{3}\)

(d)

\(\frac{3}{8}\)