Agymnastics 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

D D D D D DD DD D D D D DD DD D D D D D D D D                                                                                                                                                                        

a. the are of the rectangle is 18.25

b. 18.25 times two is 36.50

rae me : d