Answer:
The probability that there will be a total of 7 defects on four units is 0.14.
Step-by-step explanation:
A Poisson distribution describes the probability distribution of number of success in a specified time interval.
The probability distribution function for a Poisson distribution is:
![P(X = x)=\frac{e^{-\lambda}\lambda^{x}}{x!}, x=0,1,2,3,...](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%3D%5Cfrac%7Be%5E%7B-%5Clambda%7D%5Clambda%5E%7Bx%7D%7D%7Bx%21%7D%2C%20x%3D0%2C1%2C2%2C3%2C...)
Let <em>X</em> = number of defects in a unit produced.
It is provided that there are, on average, 2 defects per unit produced.
Then in 4 units the number of defects is,
.
Compute the probability of exactly 7 defects in 4 units as follows:
![P(X = x)=\frac{e^{-\lambda}\lambda^{x}}{x!}\\P(X=7)=\frac{e^{-8}8^{7}}{7!}\\=\frac{0.0003355\times2097152}{5040}\\ =0.1396\\\approx0.14](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%3D%5Cfrac%7Be%5E%7B-%5Clambda%7D%5Clambda%5E%7Bx%7D%7D%7Bx%21%7D%5C%5CP%28X%3D7%29%3D%5Cfrac%7Be%5E%7B-8%7D8%5E%7B7%7D%7D%7B7%21%7D%5C%5C%3D%5Cfrac%7B0.0003355%5Ctimes2097152%7D%7B5040%7D%5C%5C%20%3D0.1396%5C%5C%5Capprox0.14)
Thus, the probability of exactly 7 defects in 4 units is 0.14.
Answer:
When the Supreme Court rules on a constitutional issue, that judgment is virtually final; its decisions can be altered only by the rarely used procedure of constitutional amendment or by a new ruling of the Court. However, when the Court interprets a statute, new legislative action can be taken.
Area of the polygon = multiply all sides
10 * 5 * 4 * 3 * 4 * 3 * 5 = 36000in^2
Answer = 36000in^2
Answer:A quadrilateral always has a sum of 360o in total.