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

0.14

Step-by-step explanation:

X is the number of scores of a gymnast.

X is a random variable with probabilities given as listed below:

Of those probabilities P (x=9) is not given.

But we can find out this using the fact total probability = 1

Given probability distribution as follows:

X 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 Total

p 0.02 0.02 0.06 0.1 0.16 0.14 0.18 0.18 k 0.02 0.88+k

Since total probability = 1, we get 0.88+k = 1

Or k = 0.12

Using this we find that Probability that the gymnast scores a 9 or 9.5

= k+0.02 = 0.14

0.14

Step-by-step explanation:

Just did it