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
plastic injection moulding processes. Your analysis must include
the defects explanation, causes of the defects and the remedy of
reducing the defects
Let An = {ai} n i=1 denote a list of n distinct positive integers. The median...
Let An = {ai} n i=1 denote a list of n distinct positive
integers. The median mA of An is a value in An such that half the
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mA given An. (6%) (b) Now assume that one is given another list...
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Let A = {a1,...,an} be a set of real numbers such that ai >=
1 for all i, and let I be an open interval of length 1. Use
Sperner’s Theorem to prove an upper bound for the number of subsets
of A whose elements sum to a number inside the interval I.
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2.
There are different types of IS that can be used to support
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a) Suggest relevant IS that can be used to support marketing
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b) Explain functionality should be offered by that IS as
suggested in (a)?
Describe the different factors that can influence different reactions of a cell to a signal under certain conditions or in different cell types.
Describe the different factors that can influence
different reactions of a cell to a signal under certain conditions
or in different cell types.
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