Respuesta :

Considering the given discrete probability distribution, it is found that [tex]P(2 < X \leq 4) = 0.14[/tex].

What does the discrete probability distribution gives?

It give the probability of each outcome, and each outcome is represented by a countable number.

The desired probability is:

[tex]P(2 < X \leq 4) = P(X = 3) + P(X = 4)[/tex]

As there is an open interval at X = 2, it does not enter the calculation. The values are:

  • P(X = 3) = 0.1.
  • P(X = 4) = 0.04.

Hence:

[tex]P(2 < X \leq 4) = P(X = 3) + P(X = 4) = 0.1 + 0.04 = 0.14[/tex]

More can be learned about a discrete probability distribution at https://brainly.com/question/24802582

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