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1 answer:
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Now despite what you may think, <u>1:3 is not 1/3 in this situation,</u> but rather it's "1 equal part to 3 equal parts", which is a total of 4 equal parts. <u>In short, they want the point that is at the 1/4 mark from A to B.</u>
Firstly, how many units apart is 1 to 5 (the x-coordinates)? That would be 4 units apart. Multiply 1/4 by 4:
Next, how many units apart is 2 to 3 (the y-coordinates)? That would be 1 unit apart. Multiply 1/4 by 1:
Next, since from 1 to 5 you are <u>increasing</u>, add 1 to 1.
2 is the x-coordinate of the new point.
Next, since from 2 to 3 you are <u>increasing</u>, add 1/4 to 2.
9/4 is the y-coordinate of the new point.
<u>Putting it together, the point which divides AB into a 1:3 ratio is (2, 9/4), or D.</u>
Answer:
98.1% chance of being accepted
Step-by-step explanation:
Given:
sample size,n=56
acceptance condition= at most 2 batteries do not meet specifications
shipment size=7000
battery percentage in shipment that do not meet specification= 1%
Applying binomial distribution
<h3>P(x)=∑ᵇₐ=₀ (n!/a!(n-a)!)p^a (1-p)^(n-a)</h3>In this formula, a is the acceptable number of defectives;
n is the sample size;
p is the fraction of defectives in the population.
Now putting the value
a= 2
n=56
p=0.01
=0.56960+0.32219+0.08949
After summation, we get 0.981 i.e. a 98.1% chance of being accepted. As this is such a high chance, we can expect many of the shipments like this to be accepted!