Answer
$0.22$
Work Step by Step
Using the rule of total probability for $2$ events, $P(A)=P(A\cap B)+P(A\cap B')\\=P(A|B)P(B)+P(A|B')P(B')\\=0.2\cdot0.8+0.3\cdot0.2\\=0.16+0.06=0.22$
Applied Statistics and Probability for Engineers, 6th Edition
by Montgomery, Douglas C.; Runger, George C.
Published by
Wiley
ISBN 10:
1118539710
ISBN 13:
978-1-11853-971-2
Chapter 2 - Section 2-5 - Multiplication and Total Probability Rules - Exercises - Page 48: 2-122
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