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19 Oct
2020

# STA 1101: A Production Process Uses Two Machines in Its Daily Production: Quantitative Methods Assignment,…

SOLUTION AT Australian Expert Writers

Question 1
A production process uses two machines in its daily production. A random sample of 500 items produced was inspected and listed in the table below.
Machine
Defective
Non-defective
Machine A
15
285
Machine B
6
194
If an item is selected randomly,
(a) Find the probability that the item is
defective
non-defective
machine A
machine B
defective and is produced by Machine B
non-defective and is produced by Machine A
defective given that it is produced by Machine B
non-defective gave that it is produced by Machine
(b) Determine whether
the events “ Machine A” and “ Defective” are independent.
the events “ Machine B” and “ Non-defective” are mutually exclusive.
Question 2
A and B are two events such that P(B) = 1/5 , P(B | A) = 1/3 and P(A | B) = 1/2 .
Are A and B independent events?
Are A and B mutually exclusive events?
Find ( ∩ )
Find ( ∪ )
STA 1101: A Production Process Uses Two Machines in Its Daily Production: Quantitative Methods Assignment, INIT, Malaysia

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