Answer:
thus the probability that a part was received from supplier Z , given that is defective is 5/6 (83.33%)
Step-by-step explanation:
denoting A= a piece is defective , Bi = a piece is defective from the i-th supplier and Ci= choosing a piece from the the i-th supplier
then
P(A)= ∑ P(Bi)*P(C) with i from 1 to 3
P(A)= ∑ 5/100 * 24/100 + 10/100 * 36/100 + 6/100 * 40/100 = 9/125
from the theorem of Bayes
P(Cz/A)= P(Cz∩A)/P(A)
where
P(Cz/A) = probability of choosing a piece from Z , given that a defective part was obtained
P(Cz∩A)= probability of choosing a piece from Z that is defective = P(Bz) = 6/100
therefore
P(Cz/A)= P(Cz∩A)/P(A) = P(Bz)/P(A)= 6/100/(9/125) = 5/6 (83.33%)
thus the probability that a part was received from supplier Z , given that is defective is 5/6 (83.33%)
If the diameter is 16 inches, then its radius is half that, r = 8.
The area to the right of z = 1.35 is 0.0885 and the area to the left of -0.47 is 0.3192.
<h3>How to compute the values?.</h3>
Given z = 1.35
= 1- P(z < 1.35)
= 1- 0.9115
= 0.0885
The area to the left of -0.47 will be:
= 1 - P(z < 0.47)
= 1 - 0.6808
= 0.3192
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Answer:
3(n+7)-6=2n+10+n
Step-by-step explanation:
Answer
It is $180
Step-by-step explanation:
You do 450 times 40% and you get $180