Question

tested 1000 calculators to see if any were defective. the company claimed that the probability of a defective calculator was 1% per 1000 calculators. gustavo found 15 defective calculators out of 1000. what was the predicted frequency? predicted frequency = (# of trials)(theoretical probability) = (1000)(0.01) the predicted frequency was blank what was the relative frequency? relative frequency = observed frequency / total number of trials the relative frequency was blank

Explanation:

Part 1: Predicted Frequency

Step1: Identify formula and values

The formula for predicted frequency is \( \text{Predicted Frequency} = (\text{\# of trials}) \times (\text{theoretical probability}) \). Here, the number of trials (calculators) is 1000, and the theoretical probability is 0.01 (since 1% = \( \frac{1}{100} = 0.01 \)).

Step2: Calculate predicted frequency

Substitute the values into the formula: \( \text{Predicted Frequency} = 1000 \times 0.01 \).
\( 1000 \times 0.01 = 10 \).

Part 2: Relative Frequency

Step1: Identify formula and values

The formula for relative frequency is \( \text{Relative Frequency} = \frac{\text{Observed Frequency}}{\text{Total number of trials}} \). The observed frequency (defective calculators) is 15, and the total number of trials (calculators) is 1000.

Step2: Calculate relative frequency

Substitute the values into the formula: \( \text{Relative Frequency} = \frac{15}{1000} \).
\( \frac{15}{1000} = 0.015 \), which is \( 0.015 \times 100\% = 1.5\% \).

Answer:

10