A calculator manufacturing company checks 500 calculator units, and 25 of them have non-functioning keys. Approximate the relative frequency of a non-defective unit from this batch of items. Express your answer in the simplest form of a fraction.

1/20
25/500
475/500
19/20

1 answer

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

From the total of 500 calculator units, if 25 units have non-functioning keys (defective), we can find the number of non-defective units:

\[ \text{Number of non-defective units} = 500 - 25 = 475 \]

Now, the relative frequency of a non-defective unit is calculated as the ratio of non-defective units to the total units checked:

\[ \text{Relative frequency} = \frac{\text{Number of non-defective units}}{\text{Total number of units}} = \frac{475}{500} \]

Now, we simplify this fraction:

Both the numerator and the denominator can be divided by 25:

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

Thus, the relative frequency of a non-defective unit from this batch of items is:

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

The final answer is:

19/20