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Mathematics and Statistics for IT Model Paper 📊🦈 Flashcards | StudBud
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Mathematics and Statistics for IT Model Paper 📊🦈
Mathematics and Statistics for IT Model Paper 📊🦈
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1
14. Which of the following is a key property of the Normal Distribution?
It is symmetric around its mean.
Its mean is always 0, and its standard deviation is always 1.
It only applies to discrete data.
It is always skewed to the right.
2
5. Simplify the expression (4x²y) / (2xy²)
2x2y2
2xy
2y/x
2x/y
3
16. In sign-magnitude representation, both 00000000 and 10000000 represent:
The number -1
An error state
The value Zero
The number 255
4
7. In how many different ways can the letters of the word 'LEADER' be arranged?
120
6
720
360
5
21. The algebraic property demonstrated by a * (b + c) = (a * b) + (a * c) is the:
Identity Property
Distributive Property
Commutative Property
Associative Property
6
10. A fair coin is tossed twice. What is the probability of getting two heads, given that the first toss was a head?
0.5
0.75
1.0
0.25
7
6. If g(x) = x², what is the range of g(x) for the domain of all real numbers?
All positive real numbers
All integers
All real numbers
All non-negative real numbers (y ≥ 0)
8
3. The set difference A - B is defined as:
The set of elements that are in A or B, but not both.
The set of elements that are in B, but not in A.
The set of elements that are in A, but not in B.
The set of elements that are in both A and B.
9
26. What is the value of C(6, 4), the number of combinations of 6 items taken 4 at a time?
360
30
15
24
10
30. The radix or base of the hexadecimal number system is
8
16
10
2
11
8. If a bag contains 4 red marbles and 6 blue marbles, what is the probability of drawing a red marble at random?
0.4
0.2
0.66
0.6
12
33. If Set A = {1, 3, 5, 7} and Set B = {5, 7, 9, 11}, what is A ∪ B (the union of A and B)?
{1, 3, 9, 11}
{5, 7}
{1, 3, 5, 7, 9, 11}
{1, 3, 5, 5, 7, 7, 9, 11}
13
29. In Bayesian statistics, the 'prior probability' of an event represents:
The probability that the evidence is true.
The probability of the event after new evidence is considered.
The final conclusion of the hypothesis test.
The initial belief about the probability of the event before new evidence.
14
4. If 3(x - 2) = 15, what is the value of x?
6
5
9
7
15
15. The octal (base 8) representation of the binary number 11010111 is
327
653
157
353
16
25. A relation R on a set A is reflexive if, for every element x in A:
if (x, y) is in R, then (y, x) is in R.
if (x, y) and (y, x) are in R, then x = y.
if (x, y) and (y, z) are in R, then (x, z) is in R.
(x, x) is in R.
17
32. If (X)
2
= (62)₈, what is the value of x?
32
1 1 0 0 1 0
1 1 1 0 1 0
50
18
38. A card is drawn from a standard 52-card deck. What is the probability that the card is a King or a Queen?
2/13
1/13
1/51
2/51
19
9. Two events are 'mutually exclusive' if:
They cannot occur at the same time.
The outcome of one does not affect the outcome of the other.
Their probabilities add up to 1.
They have the same probability.
20
11. The 'posterior probability' P(H | E) in Bayes' Theorem is calculated as:
P(E) / [P(E | H) * P(H)]
P(H) / P(E)
[P(E | H) * P(H)] / P(E)
P(E | H) * P(H)
21
39. If P(A) = 0.5, P(B) = 0.4, and P(A ∩ B) = 0.1, what is P(A | B)?
0.25
0.125
0.5
0.2
22
18. The expression x² - 49 can be factored into
It cannot be factored.
(x - 7)(x + 7)
(x + 7)(x + 7)
(x - 7)(x - 7)
23
35. Simplify (8a + 4b) / 4.
32a + 16b
8a + b
2a + b
2a + 4b
24
12. The number of students in a classroom is an example of what type of data?
Categorical
Continuous
Ordinal
Discrete
25
1. What is the decimal (base 10) equivalent of the hexadecimal number A2F?
2607
41423
2505
10215
26
19. Which scenario should be solved using a combination (nCr)?
Selecting a committee of 3 people from a group of 10.
Arranging books on a bookshelf.
Determining the order of winners in a race.
Creating a password from a set of characters.
27
36. For the function f(x) = 3x - 2, what is f(4)?
5
14
10
12
28
28. The probability of any event E must satisfy:
P(E) = 0.5
P(E) > 0
0 ≤ P(E) ≤ 1
P(E) < 1
29
27. When rolling a single standard six-sided die, what is the sample space?
{1, 6}
{1, 2, 3, 4, 5, 6}
{6}
{Even, Odd}
30
24. Combine the like terms in the expression: 5a - 3b + 2a + 5b
0
7a + 2b
3a + 8b
7a - 2b
31
17. For a set S = {a, b, c}, the cardinality of is:
9
0
2
3
32
2. The result of the binary addition 10110 + 01101 is:
1 1 1 1 1
1 0 0 1 1 1
1 0 0 0 1 1
1 1 0 0 1 1
33
40. Eye color (blue, brown, green) is an example of which data type?
Quantitative Continuous
Qualitative (Categorical)
Ratio
Quantitative Discrete
34
37. What is the value of P(5, 2), the number of permutations of 5 items taken 2 at a time?
10
25
120
20
35
23. The expression (a/b) * (c/d) is equivalent to:
(ac)/b
(ac)/(bd)
(a+c)/(b+d)
(ad)/(bc)
36
20. Two sets A and B are said to be 'disjoint' if:
One set is a subset of the other.
Their union is the universal set.
They have the same number of elements.
Their intersection is the empty set.
37
34. The simplified form of (y^5 * y^3) / y^2 is:
y^4
y^6
y^13
y^10
38
22. Expanding the expression (x - 5)² results in
x² + 25
x² + 10x + 25
x² - 25
x² - 10x + 25
39
13. For the dataset {2, 3, 5, 5, 10}, what is the median?
5
25
5.5
3
40
31. To add two fractions, such as a/b + c/d, one must first:
Multiply the numerators and the denominators.
Find a common denominator.
Add the numerators and add the denominators.
Invert the second fraction and multiply.
