Question

A Calculaotr manufacturing company cheeks 500 calculator units, n 25 of them have non-finctionkeys, appromiate da relative frequency of a non-detecive unit from dis batch of items. Express ur answer in da simplest from of a fraction

A ) 1/20

B ) 19/20

C ) 475/500

D ) 25/500

Answer 1

To find the relative frequency of a non-defective unit, we need to determine the ratio of non-defective units to the total number of units checked.

Here, it's stated that out of 500 calculator units, 25 of them have non-functioning keys (which we can assume represent defective units). Therefore, the number of non-defective units is:

\[
500 - 25 = 475
\]

The relative frequency of a non-defective unit is calculated as:

\[
\text{Relative Frequency} = \frac{\text{Number of Non-defective Units}}{\text{Total Units}} = \frac{475}{500}
\]

Now, to express this fraction in its simplest form:

The greatest common divisor (GCD) of 475 and 500 is 25. We can simplify the fraction by dividing both the numerator and the denominator by 25:

\[
\frac{475 \div 25}{500 \div 25} = \frac{19}{20}
\]

Thus, the relative frequency of a non-defective unit is:

\[
\frac{19}{20}
\]

So the answer is **B) 19/20**.