Question 955360: i just need someone to check and see if these Probability and Statistics questions are right .....
A. Jose spins the spinner 8 times. In those 8 spins, the arrow never lands on 3. Based on this information, is the spinner unfair? Explain.
Well there only one number 3 so that will be (1/4) that equals 25% the spinner together equals 100% so if the spinner is spin 8 times and doesn't land on a 3 he should be concerned.
Jose spins the spinner 500 times. In those 500 spins, the arrow lands on 3 a total of 42 times. Based on this information, should Jose be concerned that the spinner is unfair? Explain.Yes the spinner is begin unfair again he has a 25% chance to get the 3 if you multiply 25% by 500 you get 125 if you divide 125 by 500 it equals 25% again so if 42/500 equals 8.4% you know something has to be wrong
Answer by Fombitz(32388)   (Show Source):
You can put this solution on YOUR website! Well this is a more complicated question than it may seem.
The laws of probability are based on observations whose number is very large or actually as the number of observations approaches infinity.
So on the one hand, you should be concerned that you get 0/8 to land on 3.
However, 42/500 land on 3 so your ratio has improved.
It's not near 125 but it's also not 0.
If it remained at 0, you would begin to be concerned and rightly so.
Perhaps if you did 5000, you would be less concerned as the ratio improved and got closer to 1/4 of the observations.
So at this point I don't think you have enough information to determine that the spinner is unfair.
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