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STALIN [3.7K]
4 years ago
11

A company is testing a new device to detect certain substances inside suitcases. Currently, the device is accurate 68% of the ti

me for suitcases that have these substances. In a test where half of the 70 test suitcases carry these substances, about how many times will the test identify a suitcase with the substance as not having it?
Mathematics
1 answer:
Vlad1618 [11]4 years ago
5 0
There are 70/2 = 35 suitcases with the substance. The probability of not detecting the substance is 1.00 - 0.68 = 0.32. Therefore the expected number of times the substance is not detected is:
35\times0.32 = 11\ times\ (approximately)
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