Question

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? probability distribution gymnastics score: x probability: p(x) 5 0.02 5.5 0.02 6 0.06 6.5 0.1 7 0.16 7.5 0.14 8 0.18 8.5 0.18 9 ? 9.5 0.02 0.02 0.04 0.12 0.14

Answer 1

The sum of all the probabilities must be one. Then the probability that the gymnast scores a 9 or 9.95 is 0.14.

What is a probability distribution?

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

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

1. P(X = 5) = 0.02
2. P(X = 5.5) = 0.02
3. P(X = 6) = 0.06
4. P(X = 6.5) = 0.1
5. P(X = 7) = 0.16
6. P(X = 7.5) = 0.14
7. P(X = 8) = 0.18
8. P(X = 8.5) = 0.18
9. P(X = 9) = x
10. P(X = 9.5) = 0.02

Considering that it is a distribution, the sum of all the probabilities must be one.

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 9.95 will be

P(9 or 9.5) = (X = 9) + P(X = 9.5) = 0.12 + 0.02 = 0.14

More about the probability distribution link is given below.

https://brainly.com/question/795909

Answer 2

Answer: D

Step-by-step explanation:

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