Elementary Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321836960
ISBN 13: 978-0-32183-696-0

Chapter 5 - Discrete Probability Distributions - 5-3 Binomial Probability Distributions - Basic Skills and Concepts: 42

Answer

0.018, unlikely.

Work Step by Step

The probability can be counted by substracting the value of nobody having the virus from 1. Hence $P(X>0)=1−{16 \choose 0}⋅0.00114^0⋅0.99886^{16}=0.018$. This probability is very small, therefore the test being positive is unlikely.
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