Exercise 16 them. The manufactures of this factory checks their production and made a study and get the following results: A factory produces electrical items; those items might have an "a" defect,"b" defect or both of on 8000 items 5% of the items have a "b" defect. 20% of the items having a "b" defect has an "a" defect. 15% of the items that do not have a "b" defect have an "a" defect. W. W. One item is chosen at random from the population Consider the following events: A:"The chosen item has an "a" defect ". Have Do not Number of items "a" have "a" Total defect defect Have "b" defect B:" The chosen item has a "b" defect ". 1. Complete the following table 2. Calculate the probability that the selected item has a "b" defect and do not has an Do not have "b" "a" defect. defect 3. Calculate p(A). 4. What is the probability that the selected Total 800 item is normal?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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G11 S EXTRA-MATH GUIDE
Exercise 16
and get the following results:
5% of the items have a "b" defect.
20% of the items having a "b" defect has an "a" defect.
15% of the items that do not have a "b" defect have an "a" defect.
One item is chosen at random from the population
Consider the following events:
Have
Do not
Number
of items
"a"
have "a"
Total
defect
defect
A:"The chosen item has an "a" defect ".
Have "b"
defect
B:" The chosen item has a "b" defect ".
1. Complete the following table
2. Calculate the probability that the selected
Do not
have "b"
defect
item has a "b" defect and do not has an
"a" defect.
3. Calculate p(A).
Total
8000
4. What is the probability that the selected
item is normal?
Transcribed Image Text:G11 S EXTRA-MATH GUIDE Exercise 16 and get the following results: 5% of the items have a "b" defect. 20% of the items having a "b" defect has an "a" defect. 15% of the items that do not have a "b" defect have an "a" defect. One item is chosen at random from the population Consider the following events: Have Do not Number of items "a" have "a" Total defect defect A:"The chosen item has an "a" defect ". Have "b" defect B:" The chosen item has a "b" defect ". 1. Complete the following table 2. Calculate the probability that the selected Do not have "b" defect item has a "b" defect and do not has an "a" defect. 3. Calculate p(A). Total 8000 4. What is the probability that the selected item is normal?
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