Use the given information to find the indicated probability. A and B are mutually exclusive. P(A) = 0.6, P(B) = 0.2. Find P((A U B)'). P((A U B)') =

Algebra & Trigonometry with Analytic Geometry
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Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 9E
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Use the given information to find the indicated probability.
A and B are mutually exclusive. P(A) = 0.6, P(B) = 0.2. Find P((A U B)').
P((A U B)') =
Transcribed Image Text:Use the given information to find the indicated probability. A and B are mutually exclusive. P(A) = 0.6, P(B) = 0.2. Find P((A U B)'). P((A U B)') =
The following chart shows the (approximate) total number of subprime home mortgages in a state in November 2008, broken down into four categories.
Mortgage
Status
Past
Due
Number 186,330 56,310
Current
In
Foreclosure
X
8,950
Repossessed
5,590
Total
257,180
(The four categories are mutually exclusive; for instance, "Past Due" refers to a mortgage whose payment status is past due but is not in foreclosure, and "In Foreclosure" refers to a mortgage that is in the
process of being foreclosed but not yet repossessed.)
(a) Find the probability that a randomly selected subprime mortgage in the state during November 2008 was neither in foreclosure nor repossessed. HINT [See Example 1.] (Round your answer to two decimal
places.)
257180
(b) What is the probability that a randomly selected subprime mortgage in the state during November 2008 was not current? (Round your answer to two decimal places.)
0.94
Transcribed Image Text:The following chart shows the (approximate) total number of subprime home mortgages in a state in November 2008, broken down into four categories. Mortgage Status Past Due Number 186,330 56,310 Current In Foreclosure X 8,950 Repossessed 5,590 Total 257,180 (The four categories are mutually exclusive; for instance, "Past Due" refers to a mortgage whose payment status is past due but is not in foreclosure, and "In Foreclosure" refers to a mortgage that is in the process of being foreclosed but not yet repossessed.) (a) Find the probability that a randomly selected subprime mortgage in the state during November 2008 was neither in foreclosure nor repossessed. HINT [See Example 1.] (Round your answer to two decimal places.) 257180 (b) What is the probability that a randomly selected subprime mortgage in the state during November 2008 was not current? (Round your answer to two decimal places.) 0.94
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