Find the perimeter and area of a 4 m by 12 m rectangle.
1 answer:
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Answer:
0.2755
Step-by-step explanation:
We intend to make use of the normal approximation to the binomial distribution.
First we'll check to see if that approximation is applicable.
For p=10% and sample size n = 500, we have ...
pn = 0.10(500) = 50
This value is greater than 5, so the approximation is valid.
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The mean of the distribution we'll use as a model is ...
µ = p·n = 0.10(500)
µ = 50
The standard deviation for our model is ...
σ = √((1-p)µ) = √(0.9·50) = √45
σ ≈ 6.708204
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A continuity correction can be applied to better approximate the binomial distribution. We want p(t ≤ 9.1%) = p(t ≤ 45.5). For our lookup, we will add 0.5 to this limit, and find p(t ≤ 46).
The attached calculator shows the probability of fewer than 45.5 t's in the sample is about 0.2755.
Answer:
The probability is 16%
Step-by-step explanation:
From the question we are told that
A is the event that the chip was "made by company A"
B is the event that a chip "survives 500 temperature cycles"
The probability that a computer chip survives more than 500 temperature cycles is
%
The probability that does not survive more than 500 temperature cycles and it was manufactured by company A is
The probability that the computer chip is not manufactured by company A and does not survive more than 500 temperature cycles is mathematically evaluated as
Where are a A and B complements and | represented AND operator
So
substituting values
16%