Question

Need help with Relative Frequency. Will medal

Answer 1

relative frequency is tthe same as the empirical probability.

Relative frequency of event A = (# of trials in which A occurred)/(total # of trails)

Answer 2

oops, trials not trails

Answer 3

I have never been taught empirical probability

Answer 4

your question is asking about the number of yellow balls selected in 300 trials, correct?

Answer 5

Correct

Answer 6

so let's look at what happened in the previous trials...

first, how many trials were preformed, in total?

Answer 7

performed, not preformed

Answer 8

Number of trials 10 50 150
Outcome for Yellow 9 32 135
Outcome for Black 1 18 15

Answer 9

again, how many trials were performed, in total?

Answer 10

300 i think

Answer 11

no, look at your table. in the first column, how many trials?

Answer 12

150

Answer 13

? first column on the left

Answer 14

10 then 50 then 150

Answer 15

correct, so the total number of trials is...?

Answer 16

210

Answer 17

very good.
and in those 210 trials, how many resulted in a yellow ball being drawn?

Answer 18

176?

Answer 19

excellent.
now we make a fraction from those numbers...

(# of trials resulting in a yellow ball)/(total # of trials)

what is that fraction? (You can reduce later, for now don't reduce)

Answer 20

176/210

Answer 21

perfect!

can you reduce now?

Answer 22

Yes?

Answer 23

actually, don't worry about reducing right... let's et upi a proportion and answer the question.
\[\frac{ 176 }{ 210 }=\frac{ x }{ 300 }\]
we would expect these proportions to be equal and as such, we would expect x to equal the number of yellow balls drawn in 300 trials.

can you solve for x in the proportion?

Answer 24

oops, should read "right now... let's set up"

Answer 25

you still there?

Answer 26

Here is an example of relative frequency:
Your team has won 9 total games from a total of 12 games played:
The Frequency of winning is 9
The Relative Frequency of winning is 9/12 = 75%
I got these from my notes. Hope it helps.