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Tamil Nadu Board of Secondary EducationHSC Science कक्षा १२

HSC Science कक्षा १२ - Tamil Nadu Board of Secondary Education Question Bank Solutions

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Choose the correct alternative:

Which of the following is a discrete random variable?
I. The number of cars crossing a particular signal in a day.
II. The number of customers in a queue to buy train tickets at a moment.
III. The time taken to complete a telephone call.

[11] Probability Distributions
Chapter: [11] Probability Distributions
Concept: undefined >> undefined

Choose the correct alternative:

The probability mass function of a random variable is defined as:

x – 2 – 1 0 1 2
f(x) k 2k 3k 4k 5k

Then E(X ) is equal to:

[11] Probability Distributions
Chapter: [11] Probability Distributions
Concept: undefined >> undefined

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Let p : Jupiter is a planet and q : India is an island be any two simple statements. Give verbal sentence describing the following statement.

¬ P

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
Concept: undefined >> undefined

Let p : Jupiter is a planet and q : India is an island be any two simple statements. Give verbal sentence describing the following statement.

P ∧ ¬q

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
Concept: undefined >> undefined

Let p : Jupiter is a planet and q : India is an island be any two simple statements. Give verbal sentence describing the following statement.

¬p v q

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
Concept: undefined >> undefined

Let p : Jupiter is a planet and q : India is an island be any two simple statements. Give verbal sentence describing the following statement.

p → ¬q

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
Concept: undefined >> undefined

Let p : Jupiter is a planet and q : India is an island be any two simple statements. Give verbal sentence describing the following statement.

p ↔ q

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
Concept: undefined >> undefined

Write the following sentences in symbolic form using statement variables p and q.

19 is not a prime number and all the angles of a triangle are equal

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
Concept: undefined >> undefined

Write the following sentences in symbolic form using statement variables p and q.

19 is a prime number or all the angles of a triangle are not equal

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
Concept: undefined >> undefined

Write the following sentences in symbolic form using statement variables p and q.

19 is a prime number and all the angles of a triangle are equal

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
Concept: undefined >> undefined

Write the following sentences in symbolic form using statement variables p and q.

19 is not a prime number

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
Concept: undefined >> undefined

Determine the truth value of the following statement.

If 6 + 2 = 5, then the milk is white.

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
Concept: undefined >> undefined

Determine the truth value of the following statement.

China is in Europe dr `sqrt(3)` is art integer

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
Concept: undefined >> undefined

Determine the truth value of the following statement.

It is not true that 5 + 5 = 9 or Earth is a planet

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
Concept: undefined >> undefined

Determine the truth value of the following statement.

11 is a prime number and all the sides of a rectangle are equal

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
Concept: undefined >> undefined

Which one of the following sentences is a proposition?

4 + 7 = 12

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
Concept: undefined >> undefined

Which one of the following sentences is a proposition?

What are you doing?

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
Concept: undefined >> undefined

Which one of the following sentences is a proposition?

3n ≤ 81, n ∈ N

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
Concept: undefined >> undefined

Which one of the following sentences is a proposition?

Peacock is our national bird

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
Concept: undefined >> undefined

Which one of the following sentences is a proposition?

How tall this mountain is!

[12] Discrete Mathematics
Chapter: [12] Discrete Mathematics
Concept: undefined >> undefined
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