The probability that exactly 800 chips are acceptable is less than 0.000001
<h3>How to determine the probability?</h3>
The given parameters are:
- Sample, n = 3000
- Percentage acceptable, p = 72%
- Acceptable chips, x = 800
The binomial probability is represented as:
![P(x) = ^nC_x * p^x * (1- p)^{n - x}](https://tex.z-dn.net/?f=P%28x%29%20%3D%20%5EnC_x%20%2A%20p%5Ex%20%2A%20%281-%20p%29%5E%7Bn%20-%20x%7D)
So, we have:
![P(300) = ^{3000}C_{800} * (72\%)^{800} * (1- 72\%)^{3000 - 800}](https://tex.z-dn.net/?f=P%28300%29%20%3D%20%5E%7B3000%7DC_%7B800%7D%20%2A%20%2872%5C%25%29%5E%7B800%7D%20%2A%20%281-%2072%5C%25%29%5E%7B3000%20-%20800%7D)
The data values are large.
So, we use a statistical calculator to evaluate the expression
Using the calculator, we have:
P(300) < 0.000001
Hence, the probability that exactly 800 chips are acceptable is very small i.e. less than 0.000001
Read more about probability at:
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This is what I got sorry if it’s incorrect I tried..
Answer:
A multiple choice question with 6 options will have a 16.7% chance of getting the answer correct, and a ratio of 1:6.
Step-by-step explanation:
You have a 1 in 6 chance of getting the answer correct, which can be represented with the fraction \frac{1}{6} .
To get a percentage, simply divide the 1 by the 6 and you will get an answer of 0.16666667. Multiply this by 100 and you have your answer.
To get a ratio, convert the fraction to a ratio making the left side of the ratio the numerator (the 1) and the right side the denominator (the 6).
Answer:
y=-2x + 8 which is the required equation
Which is option C
Step-by-step explanation:
Given:
Slope = m = -2
Given points are ( -2,12)
Which is
x = -2 and y =12
TO find:
Equation of line passing through these points = ?
Solution:
The point slope form of a line is
y = mx + c
Here we don't know the value of c
To find it
Putting y = 12 , x= -2 and y = -2 in the given equation
y = mx + c
Putting values it becomes
12 = (-2)*(-2) + c
12 = 4 + c
Subtracting 4 from both sides
12-4 = 4 -4 + c
8 = c
Now we have
m = -2 and c= 8
So equation of a line is given by
y = mx + c
Putting value of m and c
y = -2*x + 8
y=-2x + 8 which is the required equation