Someone help me with this one
1 answer:
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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!
Answer:
<em>The volume inside the giant sugar cube is 27 cubic feet.</em>
Step-by-step explanation:
It took 54 feet² of material to build the giant sugar cube. That means, the total surface area of the cube is 54 feet²
<u>Formula for surface area of a cube</u> is: , where
is the length of each edge of the cube.
So, we will get.........
Now, <u>the volume of the cube will be</u>: feet³
Thus, the volume inside the giant sugar cube is 27 cubic feet.