For two exclusive events A and B, P(A) = 0.2 and P(A U B) = 0.65 If the given information is shown in a Venn diagram: 1 A B a b C d i) Find a, b, c and d (to complete the Venn diagram above). a = b = C= d = (give your answers as decimals or whole numbers) For a third event C, if A and C are independent events and P(An C) = 0.06 ii) Find: P(C)= P(AUC) = P(C') = P(AUC') =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 19E
icon
Related questions
Question

17

For two exclusive events A and B, P(A) = 0.2 and P(A U B) = 0.65
If the given information is shown in a Venn diagram:
1 A
B
a
b
C
d
i) Find a, b, c and d (to complete the Venn diagram above).
a =
b =
C=
d =
(give your answers as decimals or whole numbers)
For a third event C, if A and C are independent events and P(An C) = 0.06
ii) Find:
P(C) =
P(AUC) =
P(C') =
P(AUC) =
(give your answers as decimals)
Transcribed Image Text:For two exclusive events A and B, P(A) = 0.2 and P(A U B) = 0.65 If the given information is shown in a Venn diagram: 1 A B a b C d i) Find a, b, c and d (to complete the Venn diagram above). a = b = C= d = (give your answers as decimals or whole numbers) For a third event C, if A and C are independent events and P(An C) = 0.06 ii) Find: P(C) = P(AUC) = P(C') = P(AUC) = (give your answers as decimals)
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning