Question
Reports suggest that 43% of United States homes have a fireplace, 67% have a garage and 22% have both. Assuming the reports are accurate and
Reports suggest that 43% of United States’ homes have a fireplace, 67% have a garage and 22% have both. Assuming the reports are accurate and a random US home is selected, answer the following.
a. Find the probability that the home has at least one of a fireplace or a garage.
b. Find the probability that the home has neither a fireplace nor a garage.
c. Find the probability that the home exactly 1: a fireplace exclusive or a garage.
d. Find the probability that the home has a fireplace given that it has a garage.
e. Find the probability that the home has a garage given that it has a fireplace.
f. Find the probability that the home has a fireplace given that it does NOT have a garage.
g. Find the probability that the home does not have a fireplace given that it has a garage.
h. Find the probability that the home does not have a fireplace given that it does NOT have a garage.
i. Are having a fireplace and a garage independent events? Justify.
j. Are having a fireplace and a garage mutually exclusive events? Justify.
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Income Tax Fundamentals 2013
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
31st Edition
1111972516, 978-1285586618, 1285586611, 978-1285613109, 978-1111972516
