What principle is associated with the operations of sets?

• Pigeonhole Principle

• Principle of Inclusion

• Principle of Exclusion

• Principle of Distribution

Which of the following is a type of probability distribution?

• Discrete Probability Distribution

• Linear Probability Distribution

• Quadratic Probability Distribution

• Cubic Probability Distribution

Which type of relation is characterized by having a specific property of symmetry?

• Equivalence Relation

• Transitive Relation

• Reflexive Relation

• Irreflexive Relation

In a group of 100 students, 60 like Mathematics, 45 like Physics, and 30 like both Mathematics and Physics. How many students like either Mathematics or Physics?

• 75
  

• 85

• 90

• 100

In a room of 367 people, how many people are guaranteed to have the same birthday (assuming 365 days in a year, ignoring leap years)?

• 1

• 2

• 3

• atleast 2

A random variable X takes values {0,1,2,3} with probabilities P(X=0)=0.1, P(X=1)=0. 2, P(X=2)=0. 3, and P(X=3)=0.4. What is E(X) (the expected value of X)?

• 1.5
  

• 1.7
  

• 2.0
  

• 2.2

Given a discrete random variable X with mean E(X)= 5 and E(X²)= 31, what is the variance of X?

• 5

• 6

• 7

• 8

Which of the following experiments follows a binomial distribution?

• Rolling a fair die once

• Flipping a coin 5 times and counting heads

• Measuring the weight of a fruit

• Choosing a random number between 1 and 100

A normal distribution is:

• Always skewed to the right

• A distribution with only discrete values

• Always skewed to the left

• A symmetric bell-shaped curve

Which of the following is a proposition?

• 5+3 =8

• What is your name?

• Please Close the Door

• Lets go to park