Problem 9
One hundred draws are made at random with replacement from a box with ninety-nine tickets marked "0" and one ticked "1." True or false, and explain: (a) The sum will be around \(1,\) give or take 1 or so. (b) There is about a 68\(\%\) chance that the sum will be in the range 0 to 2 .
Problem 15
A box contained \(1,500\) marbles; 600 were red and the others, blue. The fol- lowing procedure was repeated many times. One hundred draws were made at random with replacement from the box; the number of red marbles among the draws was counted. The first 10 counts were \(38,35,37,31,36,39,36,33,30,30,\) Is anything fishy? Answer yes or no, and explain.