Practice question #7. A company has 3 assembly lines for making components: A1 is the event that a component is made on the first assembly line, A2 is the event a component is on the second line, and A3 is the event a component is on the third line. D is the event that a component is defective. A sample of 1000 components is taken and represented in this table below. Fill in the missing blanks, then answer the following questions. In A-G you may leave as fractions or round to 3 decimal places as needed. A. Find P(A1) B. Find P(D) C. Find P(DC)
Practice question #7. A company has 3 assembly lines for making components: A1 is the
may leave as fractions or round to 3 decimal places as needed.
A. Find P(A1)
B. Find P(D)
C. Find P(DC)
D. Interpret what P(DC) means in practical terms, in the context of this problem. Write a sentence.
E. Find P(D ∩ A1)
F. Find P(D ∪ A1)
G. Find P(A1|D). (In other words, if we know a component is defective, what is the likelihood it was made
on the first assembly line?) Show a little work.
H. Find P(D|A1). (In other words, if we know a component was made on the first assembly line, what is
the likelihood it is defective?)
I. Continue referring to previous page. Are the events D and AA1 mutually exclusive? Show with a
J. Are the events D and AA1 independent or dependent? Show with a probability (use 3 decimal places),
then explain what this means in practical terms, in the context of the problem.
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