NDA_Math_2025_Q96

Question:

Which one of the following statements is correct?

Which one of the following statements is correct?

Options:

  • a) Coefficient of variation of X is strictly more than coefficient of variation of Y.
  • b) Coefficient of variation of X is strictly less than coefficient of variation of Y .
  • c) Coefficient of variation of X is the same as coefficient of variation of Y .
  • d) Coeficient of variation cannot be determined from the given data. Direction for Questions (97-98): Consider the following for the two (02) items that follow: Let X be a random variable following binomial distribution with parameters n = 6 and p = k. Further, 9P(X = 4) = P(X = 2).
  • a) Coefficient of variation of X is strictly more than coefficient of variation of Y.
  • b) Coefficient of variation of X is strictly less than coefficient of variation of Y .
  • c) Coefficient of variation of X is the same as coefficient of variation of Y .
  • d) Coeficient of variation cannot be determined from the given data. Direction for Questions (97-98): Consider the following for the two (02) items that follow: Let X be a random variable following binomial distribution with parameters n = 6 and p = k. Further, 9P(X = 4) = P(X = 2).

correct answer : b)

Explanation:

C.V(X) = σ
M ×100

=

2
50 100×

= 22
C.V(Y) = σ
M ×100

=

3
50 100×

= 23
\ C.V(X) < C.V(Y)

C.V(X) = σ
M ×100

=

2
50 100×

= 22
C.V(Y) = σ
M ×100

=

3
50 100×

= 23
\ C.V(X) < C.V(Y)

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