A RADIO HUT QUALITY INSPECTOR EXAMINES A SAMPLE OF 50 RADIOS AND FINDS THAT 5 ARE DEFECTIVE. WHAT IS THE BEST PREDICTION OF THE NUMBER OF DEFECTIVE RADIOS IN A DELIVERY OF 200 RADIOS?
The proportion of defective radios in the sample is 5/50 = 0.1.
Assuming the same proportion holds true for the delivery of 200 radios, the predicted number of defective radios is 0.1 * 200 = 20. Therefore, the best prediction of the number of defective radios in a delivery of 200 radios is 20.
To make the best prediction of the number of defective radios in a delivery of 200 radios, we can use the concept of proportion.
First, let's find the proportion of defective radios in the sample of 50 radios. We divide the number of defective radios (5) by the total number of radios (50):
Proportion of defective radios = 5/50 = 0.1
Next, we can use this proportion to predict the number of defective radios in a delivery of 200 radios. We multiply the proportion by the total number of radios in the delivery:
Prediction of defective radios = Proportion of defective radios * Total number of radios in the delivery
= 0.1 * 200
= 20
Therefore, the best prediction of the number of defective radios in a delivery of 200 radios is 20.