Question

You want to take an SRS $50$of the $816$students who live in a dormitory on a college campus. You label the students $001$to $816$in alphabetical order. In the table of random digits, you read the entries

$95592$ $94007$ $69769$ $33547$ $72450$ $16632$ $81194$ $14873$

The first three students in your sample have labels

(a) $955,929,400$

(b) $400,769,769$

(c) $559,294,007$

(d) $929,400,769$

(e) $400,769,335$

Short answer

The first three students in your sample have labels is option (e)$400,769,335$

Step-by-step solution

Given information

SRS$50$of$816$students was labelled as$001to816$

the table of random digits$\begin{array}{llllllll}95592& 94007& 69769& 33547& 72450& 16632& 81194& 14873\end{array}$

Find the first three digits in your sample.

Explanation

Identify the random digits of yours

The random digits are

$\begin{array}{llllllll}95592& 94007& 69769& 33547& 72450& 16632& 81194& 14873\end{array}$

Because our largest number is three digits $\left(816\right)$, we'll divide the random numbers into three digits apiece. This can be accomplished by omitting the spaces

$955929400769769335477245016632811941487....$

Identify the labels from $001,002,....816$

$955$and $929$are not within $001,002...$$816400,769$are in there,

so those are our first $2769$is already included, cannot include a second time.

3rd number is then $335$

The three numbers are$400,769,335$which is option (e).