the president of the student council wants to survey the student population about parking. she decides to…

the president of the student council wants to survey the student population about parking. she decides to use a random number table to take a random sample of 100 of the 1,020 students at the school. what is the smallest number of digits that should be used to label the population?\n1\n2\n3\n4

the president of the student council wants to survey the student population about parking. she decides to use a random number table to take a random sample of 100 of the 1,020 students at the school. what is the smallest number of digits that should be used to label the population?\n1\n2\n3\n4

Answer

Answer:

D. 4

Explanation:

Step1: Analyze the population size

The population size is 1020 students.

Step2: Determine the number of digits

The smallest number of digits needed to label 1020 distinct items is 4 - digit numbers. With 1 - digit numbers (0 - 9), we can label 10 items. With 2 - digit numbers (00 - 99), we can label 100 items. With 3 - digit numbers (000 - 999), we can label 1000 items. Since 1020>1000, we need 4 - digit numbers (0000 - 1020 can be used to label all 1020 students).