91Ó°ÊÓ

True or false: if a coin is tossed 100 times, it is not likely that the number of heads will be exactly \(50,\) but it is likely that the percentage of heads will be exactly 50\(\% .\) Explain.

Two hundred draws will be made at random with replacement from the box (a) If the sum of the 200 numbers drawn is \(30,\) what is their average? (b) If the sum of the 200 numbers drawn is \(-20,\) what is their average? (c) In general, how can you frawn is \(-20,\) what is their average? told their sum? (d) There are two alternatives: (i) winning \(\$ 1\) if the sum of the 200 numbers drawn is between \(-5\) and \(+5 .\) (ii) winning \(\$ 1\) if the average of the 200 numbers drawn is between \(-0.025\) and \(+0.025 .\) Which is better, or are they the same? Explain.