The Grapes of China The Chinese wine industry has become very large. However, there are many quality control problems.45 Wine batches are systematically examined for alcohol content, total sugar,...

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Answered Same DayDec 25, 2021

Answer To: The Grapes of China The Chinese wine industry has become very large. However, there are many quality...

Robert answered on Dec 25 2021
125 Votes
Let X denote number of unqualified in n = 6 independent bottles, where each
has a probability p = 0
.03
We denote this by:
X ∼ Binomial(n = 6, p = 0.03)
A P (X = 0), n = 6, p = 0.03
P (X = 0) =
(
n
x
)
px(1 − p)n−x =
(6
0
)
(0.03)0(1 − 0.03)6−0 = 1 ∗ (0.03)0(0.97)6 =
0.832972 ≈ 0.832972 ≈ 0.833
P (X = 0) = 0.833
Using excel function BinomDist(0,6,0.03,false) or TI-83/84 function
binompdf(6,0.03,0), exact answer is...
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