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

Explanation:

Sum the known probabilities

Using the Probability Axioms knowledge point

$$
LATEXBLOCK0
$$

Find the missing probability for a score of 9

Using the Probability Axioms knowledge point

$$
LATEXBLOCK1
$$

Calculate the probability of scoring 9 or 9.5

Using the Probability Addition Rule and Mutually Exclusive Events knowledge points

$$
LATEXBLOCK2
$$

Answer:

\(0.14\)