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The probability distribution for a
random variable x is given in the table.
X
-5 -3 -2 0 2
Probability .17 .13
3
133 16 .11 .10
Find the probability that -2 ≤x≤2

Respuesta :

Considering the distribution given in the table, the desired probability is:

[tex]P(-2 \leq X \leq 2) = 0.6[/tex]

What is the probability distribution given in the table?

The distribution is:

  • P(X = -5) = 0.17.
  • P(X = -3) = 0.13.
  • P(X = -2) = 0.33.
  • P(X = 0) = 0.16.
  • P(X = 2) = 0.11.
  • P(X = 3) = 0.10.

The values between -2 and 2(inclusive) are -2, 0 and 2, hence the desired probability is:

[tex]P(-2 \leq X \leq 2) = P(X = -2) + P(X = 0) + P(X = 2) = 0.33 + 0.16 + 0.11 = 0.6[/tex]

More can be learned about probabilities at https://brainly.com/question/14398287

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