21MAT31-CS

Which of the following mentioned standard Probability density functions is applicable to discrete Random Variables?

• Gaussian Distribution

• Poisson Distribution
  

• Rayleigh Distribution

• Exponential Distribution

What would be the probability of an event ‘G’ if H denotes its complement, according to the axioms of probability?

• P (G) = 1 / P (H)

• P (G) = 1 – P (H)

• P (G) = 1 + P (H)

• P (G) = P (H)

The standard deviation of any sampling distribution is called

•  Coefficient of variation

• Type-I error

• Covariance

• Standard error

The mean of sampling distribution of means is equal to

• Weighted mean

• Combined mean

• Population mean

• Sample mean

Determine the characteristics of the relation aRb if a² = b².

• Transitive and symmetric

• Reflexive and asymmetry

• Symmetric, Reflexive, and transitive

• Symmetric, Reflexive

If a relation is symmetrical, reflexive and transitive, then it is a ____.

• 1. Equal relation

• 1. Equivalence relation

• 1. Symmetrical relation

• 1. Asymptotic relation

If the correlation coefficient is a positive value, then the slope of the regression line

• must also be positive

• can be either negative or positive

• can be zero

• can not be zero

If A is any statement, then which of the following is a tautology?

• A ∧ F

• A ∨ F

• A ∨ ¬A

• A ∧ T

The truth table contains only T in the ____ column in tautology?

• 1. Initial

• 1. Middle

• 1. Final

• 1. None

If p is ___ and q is ____, then (p→q)⟷( ~q⟶~p) is true?

• 1. True, false

• 1. False, true

• 1. True, true

• 1. All of the above