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?
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1 point
195 radios
5 radios
20 radios
50 radios
To make the best prediction of the number of defective radios in a delivery of 200 radios, we can assume that the proportion of defective radios remains the same.
First, let's calculate the proportion of defective radios in the sample:
Proportion of defective radios = (number of defective radios in the sample) / (total number of radios in the sample)
Proportion of defective radios = 5 / 50
Proportion of defective radios = 0.1
Now, let's use this proportion to make the prediction for a delivery of 200 radios:
Number of defective radios in the delivery = (proportion of defective radios) * (total number of radios in the delivery)
Number of defective radios in the delivery = 0.1 * 200
Number of defective radios in the delivery = 20 radios
Therefore, the best prediction of the number of defective radios in a delivery of 200 radios is 20 radios.