Respuesta :

standard deviation(σ[tex]_{x} [/tex]) = √V(X) = 10
Therefore, variance of X. V(X) = 10² = 100

Variance of aX is given by,
V(aX) = a²V(X)

Therefore, variance of 3X will be,
V(3X) = 3²V(X) = 9(100) = 900

Therefore, standard deviation of 3X is,

σ[tex]_{3x} [/tex] = √V(3X) = √900 = 30

The 3x has the standard deviation should be equivalent to 30.

Given that

  • X represents the normal random variable.
  • It contains a standard deviation of 10.

So, the 3x should be

= 3 × standard deviation

= 3 × 10

= 30

Therefore we can conclude that The 3x has the standard deviation should be equivalent to 30.

Learn more about the standard deviation here: brainly.com/question/16555520

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