Free Printable Value Added Course - Probability Distribution

1.

An .......... is defined as a process for which its results is well defined

a)

experiment

b)

event

c)

trail

d)

none of these

2.

How many types of experiments are there?

a)

one

b)

two

c)

three

d)

four

3.

An experiment whose outcome can be predicted is called

a)

random variable

b)

random experiment

c)

deterministic experiment

d)

none of these

4.

An experiment whose possible outcomes are known in advance is called

a)

random variable

b)

random experiment

c)

deterministic experiment

d)

none of these

5.

The set of all possible outcomes of a random experiment is

a)

random variable

b)

sample space

c)

sample point

d)

space of random variable

6.

A function $X:\ S\rightarrow\ R$ which assigns to each element in S one and only real number is called a ...........

a)

event

b)

probability density function

c)

distribution function

d)

random variable

7.

Probability set function P(A) is always ....... for every $A\subset S$

a)

positive

b)

negative

c)

non-negative

d)

1

8.

For any experiment P(S)=

a)

0

b)

1

c)

2

d)

3

9.

A random variable takes at most a countable number of values is called as

a)

discrete random variable

b)

continuous random variable

10.

In what situation we will use binomial distribution

a)

if the possible outcomes is more than two

b)

if the possible outcomes is one

c)

if the possible outcomes is exactly two

d)

none of these

11.

Which experiment consists of n identical and independent trails

a)

binomial

b)

poisson

c)

normal

d)

geometric

12.

How the random variable X defined in the binomial distribution

a)

number of failures in n trials

b)

number of success in n trails

c)

number of success in n independent trails

d)

number of failures in n independent trials

13.

pdf of binomial distribution is

a)

$f\left(x\right)=n_{C_x}\ p^x\ q^{n-x^{ }}\ ,\ x=\ 0,\ 1,\ 2,\ ...,\ n$

b)

$f\left(x\right)=n_{C_x}\ p^x\ q^{n-x^{ }}\ ,\ x=\ 0,\ 1,\ 2,\ ...,\ \infty$

c)

$f\left(x\right)=n_{C_x}\ p^x\ q^{x^{ }}\ ,\ x=\ 0,\ 1,\ 2,\ ...,\ n$

d)

$f\left(x\right)=n_{C_x}\ p^n\ q^{n-x^{ }}\ ,\ x=\ 0,\ 1,\ 2,\ ...,\ n$

14.

In what situation we apply geometric distribution

a)

trails performed until r success occurred

b)

trails performed at most r success occurred

c)

trails performed until a success occurred

d)

none of these

15.

Under what condition we apply negative binomial distribution?

a)

trails performed until a success occurred

b)

trails performed until a failure occurred

c)

trails performed until r failures occurred

d)

trails performed until r successes occurred

16.

Suppose that we want to find the probability of getting 1st head in the 10nth attempt during tossing a coin repeatedly. What distribution we have to use to find the required probability?

a)

binomial

b)

Negative binomial

c)

geometric

d)

poisson

17.

Suppose that a student is studying to pass the government exam. What is the probability that she will clear the exam on her third attempt?

a)

$q^3p$

b)

$q^2p$

c)

$qp$

d)

$q^4p$

18.

Generalization of geometric distribution is

a)

chi-square distribution

b)

exponential distribution

c)

negative binomial distribution

d)

gamma distribution

19.

Choose the odd one out

a)

binomial distribution

b)

poisson distribution

c)

geometric distribution

d)

gamma distribution

20.

What distribution is appropriate when we have to find the number of times a certain even occurs over a specific period?

a)

poisson

b)

gamma

c)

exponential

d)

chi-square

21.

The gamma distribution is used to find the probability of

a)

number of events occurred in a period

b)

number of r successes

c)

time

d)

none of these

22.

What is the pdf of uniform distribution with minimum a =-4 and maximum b = 6

a)

1/-10

b)

1/2

c)

10

d)

1/10

23.

For what values of $\alpha\ and\ \beta$ , gamma distribution is changed into chi-square distribution?

a)

$\alpha=r\ and\ \beta=2$

b)

$\alpha=r\ and\ \beta=1$

c)

$\alpha=\frac{r}{2}\ and\ \beta=2$

d)

$\alpha=\frac{r}{2}\ and\ \beta=1$

24.

The normal distribution curve is .......

a)

parabola

b)

hyperbola

c)

bell shaped

d)

rectangle

25.

True or False: The normal distribution curve never touches the x-axis

a)

True

b)

False

Value Added Course - Probability Distribution

Total questions: 25

Worksheet time: 2hrs 5mins

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