Question

at west high school, 10% of the students participate in sports. a student wants to simulate the act of randomly selecting 20 students and counting the number of students in the sample who participate in sports. the student assigns the digits to the outcomes.
0 = student participates in sports
1 - 9 = student does not participate in sports
here is a portion of a random number table.
beginning at line 1, carry out one trial of this simulation. use additional lines as needed. how many students in this random sample of 20 students participate in sports?

Explanation:

Step1: Identify the digits for participation

We know that \(0\) represents a student who participates in sports.

Step2: Count the number of \(0\)s in the first \(20\) digits

Looking at line 1: \(31645\) (no \(0\)), \(03495\) (one \(0\)), \(96193\) (no \(0\)), \(10898\) (one \(0\)). So far, we have \(2\) zeros.
Then, we need more digits. Looking at line 2: \(67940\) (one \(0\)), \(85019\) (one \(0\)), \(98036\) (one \(0\)), \(98252\) (no \(0\)). Now we have \(2 + 1+1 + 1=5\) zeros.
Continuing with line 3: \(21805\) (one \(0\)), \(26727\) (no \(0\)), \(73239\) (no \(0\)), \(53929\) (no \(0\)). Now total is \(5 + 1=6\) zeros.
Line 4: \(03648\) (one \(0\)), \(93116\) (no \(0\)), \(98590\) (one \(0\)), \(10083\) (two \(0\)s). Now total is \(6+1 + 1+2=10\) zeros. But we only need \(20\) digits. Let's recount properly.
Let's list out the first \(20\) single - digit numbers:
From line 1: \(3,1,6,4,5,0,3,4,9,5,9,6,1,9,3,1,0,8,9,8\)
Counting the number of \(0\)s in these \(20\) digits.

Answer:

\(2\)