SOLUTION: If a fair coin is tossed 100 times, we would expect heads to occur about 50 times. But how many heads would suggest that a coin is not fair? An inequality used by statisticians to

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: If a fair coin is tossed 100 times, we would expect heads to occur about 50 times. But how many heads would suggest that a coin is not fair? An inequality used by statisticians to      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1138480: If a fair coin is tossed 100 times, we would expect heads to occur about 50 times. But how many heads would suggest that a coin is not fair? An inequality
used by statisticians to answer this question is: `

|(x - 50)/5| < 1.96,
where x is the actual number of heads that occurred in 100 tosses of a coin. What range of heads would suggest that the coin is a fair coin?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
abs%28%28x+-+50%29%2F5%29+%3C+1.96

Rewrite without absolute values as a three-sided inequality:

-1.96%3C%28x-50%29%2F5%3C1.96

Multiply all three sides by 5:

-9.8%3Cx-50%3C9.8

Add 50 to all three sides:

40.2%3Cx%3C59.8

Since x can only be a whole number, round the
lower number up and the higher number down.

41%3C=x%3C=59

It would be considered a fair coin if you got between 41 and 59 heads,
inclusive.

It would be considered an unfair coin if you got 40 or fewer heads or 60 or more
heads.

Edwin