Question

gustavo 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

what was the relative frequency?

relative frequency = \frac{observed frequency}{total number of trials}

the relative frequency was

Explanation:

Step1: Calculate the predicted frequency

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

$$ 1000\times0.01 = 10 $$

Step2: Calculate the relative frequency

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

$$ \frac{15}{1000}=0.015 $$

Answer:

Predicted frequency: \(10\); Relative frequency: \(0.015\)