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FUTMinna PAST QUESTIONS AND ANSWERS
Course Code:
STA127
Course Title:
Probability II

Note: STA127 is a Second Semester course offered by most 100Level Students of the Federal University of Tehnology Minna.

A survey of a class of thirty graduates showed that five graduated with a distinction, nine graduated with upper credit, fourteen graduated with lower credit and two graduated with a pass. What is the probability that a graduate selected from this group has an upper credit?

5/10

9/10

1/6

3/10

If A and B are two mutually exclusive events in the sample space addition rule states that

P(AUB) = P(A) + P(B) - P(AnB)

P(AUB) = P(A) * P(B)

P(AUB) = P(A) + P(B)

P(AUB) = P(A) - P(B)

A coin is tossed 3 times. The total possible outcome or sample space is_____

8

32

16

4

12

Supposed a fair die is tossed twice, the total sample space is______
12
36
26
24
32

Consider the experiment in which two coins are tossed. What is the probability that either the first or the second comes up tail?
3/4
1/4
1
1/2
In a family of four children, what is the probability that 3 out of the four children will be female?
1/32
1/2
1/8
3/8
Suppose that we have a fuse box containing 25 fuses of which seven are defective. If two fuses are selected at random and removed from the box in succession without replacing the first fuse. the probability that both fuses are defective is _____
1/19
7/10
7/100
6/25

A real value function that assigns numerical value to possible outcome of an experiment is called____
Random Variable
Combination
Probability
Permutation
 
In order to make certain formula compact, it is very convenient to take 0! =1 even though the idea makes no sense by arithmetic definition. The notation was Introduced by who
Christian Kramp
Thomas Acquina
Pablo Kunt
Christian Mark

Consider the experiment in which two dice are thrown together. What is the probability of obtaining sum of points equal 13
4/13
0
1/6
1/12
Thunder
 
Let E be any event in the sample space. The probability of non-occurence of the event E is given by
1 + P(E)
P(E)
1 - P(E)
P(E) / n
 
In how many ways can the letter of the word STATISTICS be arrange
3628800 ways
50400 ways
20 ways
34520 ways 

Evaluate 6C3
4
24
8
20
10

In how many ways can four people be seated in two different seats?
24
12
6
8
 
A probability function is given by p(0) = 0.3164 p(1) = 0.4219 p(2) = 0.2109 p(3) = 0.0469 and p(4) = 0.0039. Find its mean
0.65
0.55
1
0.98

A random variable X has the probability mass function p(0) = 1/6, p(-3) = 1/2, p(4) = 1.3. Obtain the variance of X
10
10/6
59/6


0

For what value of k is k/x2 a proper distribution function for x= 1, 2
1/5

4/5

3/4

3/5

The random variable x represent the number of defective missiles while five missile are fired has the probability distribution
x:      0        1       2       3       4     5
f(x):  0.31  0.18  0.15   0.22  0.13  0.01
Determine the expected value of the distribution
1.71

0.6

0.4

0.2

If an operation can be performed in n ways, another operation can be performed in n2 ways. In how many ways can the two operations be performed simultaneously?
n1*n2

n1 + n2

n1! + n2!

n1! * n2!

European football consist of 16 clubs. how many matches have to be played in order that each team plays every other team
120

240

120

60

What is the probability that there are not more than three boys in a family?
0.186

0.813

0.125

0.875

In how many ways can committee of five peoples be selected of of 9 people?
126

621

304

401

Let the set T = {table, Chair, Fan). How many subset of T can we have?
8

3

6

16

4

 
A ball is drawn at random from a box containing 6 red balls, 4 white balls and 5 blue balls. Determine  the probability that it is red

3/5

4/9

6/11

8/15

 

Find the second moment about the mean of the distribution 2, 4, 6, 8, 10, 12, 14
16

16.5

34.5

32

32.5

 
Find the first moment about 0 for the distribution 2, 4, 6, 8, 10, 12, 14
8.00

8.25

8.11

8.05

0

 
A continuous variable x has a Cumulative Density function f(x) = 2x2 - 1. What is Probability Density Function of x?
4x

4x - 1

4x + 1

0

No suffecient information to compute CDF

If x is a random variable with pdf given as {12x2(1 - x) 0 < x <1}. Find the expected value of x
2/5

1/4

3/5

1/7

5/3

 
All the following are examples of discrete distribution EXCEPT
Bernoulli distribution

Exponential distribution

Poisson distribution

Hyper-geometric distribution

Geometric Distribution

 
If a sample space contain at most a countable number of points, then it is known as ____
Random space

Continuous space

Event space

Discrete sample space

 
If a sample space contain uncountable number of points, then it is known as ____
Random space

Discrete sample space

Event space

Continuous sample space
An event is said to have an occurrence iff
The sample point belonging to it are realizable in the experiment

There is equal likelihood

It is independent

It is mutually exclusive

Events A and B are said to be mutually exclusive iff
AnB = {}

AnB = {a}

AnB = {1}

 AUB = {}

 
A probability concept that defined probability as a function of event on a sample space is known as _____
classical concept

equally likelihood

Apriori concept

Axiomatic concept

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