Question
In: Statistics and Probability
2.A certain system can experience three different types of defects. Let Ai; i = 1, 2,...
2.A certain system can experience three different types of defects. Let Ai; i = 1, 2, 3 denote the event that the system has a defect of type i. Suppose that P(A1)= 0.12, P(A1ÈA2)= 0.13, P(A2)= 0.07, P(A1ÈA3)=0.14, P(A3)= 0.05, P(A2ÈA3)=0.10, and P(A1ÇA2ÇA3)= 0.01.
a)What is the probability that the system has both type 1 and type 2 defects?
b)What is the probability that the system has at least one of these defects?
c)What is the probability that the system has at most two of these defects?
Solutions
orchestra answered 2 years agoRelated Solutions
A certain system can experience three different types of defects. Let Ai (i = 1,2,3) denote...
A certain system can experience three different types of
defects. Let Ai (i = 1,2,3) denote the
event that the system has a defect of type i. Suppose
that
P(A1) = 0.29,
P(A2) = 0.27,
P(A3) = 0.36,
P(A1 ∪ A2) = 0.52,
P(A1 ∪ A3) =
0.57,
P(A2 ∪ A3) = 0.58,
P(A1 ∩ A2 ∩ A3)
= 0.01
(a)
Find the probability that the system has exactly 2 of the 3
types of defects.
(b)
Find the probability...
A certain system can experience three different types of defects. Let Ai (i = 1,2,3) denote...
A certain system can experience three different types of
defects. Let Ai (i = 1,2,3) denote the
event that the system has a defect of type i. Suppose that
the following probabilities are true.
P(A1) = 0.15
P(A2) =
0.10 P(A3) =
0.08
P(A1 ∪ A2) = 0.17
P(A1 ∪
A3) = 0.18
P(A2 ∪ A3) = 0.15
P(A1 ∩
A2 ∩ A3) = 0.02
(a) What is the probability that the system does not have a...
A certain system can experience three different types of defects. Let Ai (i = 1,2,3) denote...
A certain system can experience three different types of
defects. Let Ai (i = 1,2,3) denote the
event that the system has a defect of type i. Suppose that
the following probabilities are true.
P(A1) =
0.11
P(A2) =
0.07
P(A3) = 0.05
P(A1 ∪
A2) = 0.15
P(A1 ∪
A3) = 0.14
P(A2 ∪
A3) = 0.1
P(A1 ∩
A2 ∩ A3) = 0.01
(Round your answers to two decimal places.)
(c) Given that the system has at least...
A certain system can experience three different types of defects. Let Ai (i = 1,2,3) denote...
A certain system can experience three different types of
defects. Let Ai (i = 1,2,3) denote the
event that the system has a defect of type i. Suppose that
the following probabilities are true.
P(A1) =
0.10 P(A2)
=
0.07 P(A3)
= 0.05
P(A1 ∪ A2) =
0.11 P(A1
∪ A3) = 0.12
P(A2 ∪ A3) =
0.10 P(A1
∩ A2 ∩ A3) = 0.01
(a) Given that the system has a type 1 defect, what is the
probability that it has a type...
A certain system can experience three different types of defects. Let Ai (i = 1,2,3) denote...
A certain system can experience three different types of
defects. Let Ai (i = 1,2,3) denote the event that the system has a
defect of type i. Suppose that the following probabilities are
true. P(A1) = 0.10 P(A2) = 0.08 P(A3) = 0.06 P(A1 ∪ A2) = 0.12 P(A1
∪ A3) = 0.13 P(A2 ∪ A3) = 0.12 P(A1 ∩ A2 ∩ A3) = 0.01 (c) Given
that the system has at least one type of defect, what is the...
Analyze the different types of defects that can be developed in plastic injection moulding processes. Your...
Analyze the different types of defects that can be developed in
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Let A = {a1,...,an} be a set of real numbers such that ai >=
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There are different types of IS that can be used to support
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Describe the different factors that can influence
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