Question

It is observed that 10% of the production is defective. If 5 units are selected from production. Find non of them defective

Answer 1

Answer:

$\dfrac{5}{9} \approx 0.56$

Step-by-step explanation:

Let the total number of units in the production be $x$

Then, percentage of defective units = $10\%$

So, percentage of units selected = $100\% - 10\% = 90\%$

Number of units selected = $5$

According to the question;

$90\%\space of\space x = 5$

$\Rightarrow \dfrac{90}{100}x = 5$

$\Rightarrow \dfrac{9}{10}x = 5$

$\Rightarrow x = 5 \times \dfrac{10}{9} = \dfrac{50}{9}$

Number of them defective

$= 10\%\space of\space x$

$= 10\%\space of\space\dfrac{50}{9}$

$= \dfrac{10}{100} \times \dfrac{50}{9}$

$= \dfrac{5}{9}$

$\approx 0.56$

Hence, $0.56$ units of the production are defective.