91Ó°ÊÓ

Number of tiles $=100$

Vowels$=42$,

Consonants $=56$,

Number of blank tiles $=2$

Number of tiles for SRS$=7$

Given a population of $100$people, a sample size of $7$represents less than ten percent of the total. This indicates that the ten percent criteria has been met. As a result, the condition is satisfied.

Number of tiles$=100$

Vowels$=42$

Consonants$=56$

Number of blank tiles$=2$

Number of tiles for SRS$=7$

Given for the population:

$x=42$

$n=100$

The population proportion is calculated by dividing the sample size by the number of successes:

localid="1650011266324" $$\begin{gathered} p=\frac{x}{n} \\ =\frac{42}{100} \end{gathered}$$

Sample given: $n=7$

As long as $np$and $n(1-p)$are both at least $10$, the condition is met.

localid="1650011270157" $$\begin{gathered} np=7×\frac{42}{100} \\ ≈2.94 \end{gathered}$$

localid="1650011273619" $$\begin{gathered} n(1−p)=7×\left(1−\frac{42}{100}\right) \\ ≈4.06 \end{gathered}$$