Is there more to the problem?? Like how many points total in the quiz and stuff?
Answer:
14.78% probability that a sample of 10 covers will contain exactly 2 defectives
Step-by-step explanation:
For each cover, there are only two possible outcomes. Either it is defective, or it not. The probability of a cover being defective is independent from other covers. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
And p is the probability of X happening.
If the fraction of defective covers produced on the USB Mouse Factory production line is known to be 8%, what is the probability that a sample of 10 covers will contain exactly 2 defectives?
This is
when
. So
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
![P(X = 2) = C_{10,2}.(0.08)^{2}.(0.92)^{8} = 0.1478](https://tex.z-dn.net/?f=P%28X%20%3D%202%29%20%3D%20C_%7B10%2C2%7D.%280.08%29%5E%7B2%7D.%280.92%29%5E%7B8%7D%20%3D%200.1478)
14.78% probability that a sample of 10 covers will contain exactly 2 defectives
Answer:
−15 13/15
Step-by-step explanation:
AnswerC
Step-by-step explanation:
Let's say that the coordinates of the squirrel are: (x, y)
Since the coordinates of the acorn is halfway, between the tree and the squirrel, that means the acorn is the midpoint.
To work out the midpoint you do:
(sum of x-coordinates) divided by 2, (sum of y coordinates) divided by 2.
We can use this to form an equation .
So the sum of the x coordinates of the tree and the squirrel = -1 :
x-coordinates of the squirrel:
<em>(now solve for x)</em>
![-3+x = -2](https://tex.z-dn.net/?f=-3%2Bx%20%3D%20-2)
![x=1](https://tex.z-dn.net/?f=x%3D1)
y-coordinates:
<em>(now solve for y)</em>
![8+y=10](https://tex.z-dn.net/?f=8%2By%3D10)
![y = 2](https://tex.z-dn.net/?f=y%20%3D%202)
So the coordinates of the squirrel are: (1, 2)
____________________
Answer:
(1, 2)