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A gymnastics coach records the scores of a gymnast and develops the probability distribution below. What is the
probability the gymnast scores a 9 or 9.5?

Respuesta :

jimenezdiego513

Answer: 0.14

Step-by-step explanation: took the review and got it right

Considering that it is a probability distribution, it is found that there is a 0.14 probability the gymnast scores a 9 or 9.5.

What is the probability distribution?

Researching on the internet, the probability of the gymnast getting each score is given by:

  • P(X = 5) = 0.02.
  • P(X = 5.5) = 0.02.
  • P(X = 6) = 0.06.
  • P(X = 6.5) = 0.1.
  • P(X = 7) = 0.16.
  • P(X = 7.5) = 0.14.
  • P(X = 8) = 0.18.
  • P(X = 8.5) = 0.18.
  • P(X = 9) = x.
  • P(X = 9.5) = 0.02.

Considering that it is a distribution, the sum of the probabilities has to be equals to 1, hence:

0.02 + 0.02 + 0.06 + 0.1 + 0.16 + 0.14 + 0.18 + 0.18 + x + 0.02 = 1

0.88 + x = 1

x = 0.12

The probability that the gymnast scores a 9 or 9.5 is:

p = P(X = 9) + P(X = 9.5) = 0.12 + 0.02 = 0.14.

0.14 probability the gymnast scores a 9 or 9.5.

More can be learned about probability distributions at https://brainly.com/question/24855677

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