An electrical contractor orders circuits from a wholesale supplier. The supplier

Question

An electrical contractor orders circuits from a wholesale supplier. The supplier is aware that among all circuits being shipped, the population proportion of defective circuits is .03 . The contractor decides to select a random sample of 20 circuits from each shipment that is received and test the circuits to determine their quality. The contractor decided to select a random sample of 20 circuits from each shipment that was received from the supplier. If the supplier sent 6 shipments, what is the expected number of defects the electrical contractor will see from his entire sample?

Explanation / Answer

Solution:

   We are given that : An electrical contractor orders circuits from a wholesale supplier. The supplier is aware that among all circuits being shipped, the population proportion of defective circuits is = 0.03

The contractor decided to select a random sample of 20 circuits from each shipment that was received from the supplier and the supplier sent 6 shipments.

We have to find the expected number of defects the electrical contractor will see from his entire sample.

Each sample of size 20 X 6 Shipments = 120

Thus Entire sample size = n = 120.

Expected number of defects the electrical contractor will see from his entire sample = n X

Expected number of defects the electrical contractor will see from his entire sample = 120 X 0.03

Expected number of defects the electrical contractor will see from his entire sample = 3.6

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