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Statistics
and Probability


Use groups of 2.
Take a Shot

Look at the table below. The table consists of the digits 0 through 9. Each digit was selected at random by a computer. You can use a table of random numbers to act out a problem.

Read the following problem.

A radio station sponsors a free-throw shooting contest at halftime of Hoopsta basketball games. To win a prize, contestants must make five out of five free throws. The radio station figures that the average person can make one out of every two free throws he or she attempts. If fifty people take part in the contest during the season, how many prizes should the station expect to give away?

Solve the problem using the random number table. (Hint: suppose that each digit in the table represents a free throw and that each group of five digits represents one contestant's attempts. Since the probability that the average person will make a free throw is , make half of the digits 0 through 9 stand for made free throws and the other half stand for missed free throws.)

Table of random numbers:
 
80919

05977

27751

43877

23944

35320

20813

08608

35052

03052

 
14864

78919

28773

94451

34656

72090

48703

75215

53794

51384

 
10472

35530

43401

64219

44747

95657

50414

16342

96515

95220

 
04815

07705

33340

20462

32361

92080

96437

25888

36235

19678

 
85065

41929

75261

51581

64220

50232

66217

75681

97061

15559