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                                                                                                                                                                        

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this