Answer:
Step-by-step explanation:
Parameters to describe the movement
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.
45-21 over 5-2 which would be 4 because it shows it
Answer:
18 dollars per hour
Step-by-step explanation:
Answer:
Area of the square pyramid = ![156\,cm^2](https://tex.z-dn.net/?f=156%5C%2Ccm%5E2)
Step-by-step explanation:
The Surface area of the square pyramid :
Area of the four triangular faces+ Area of the square base
![=(2\times Base \times Height )+ (Side\times Side)](https://tex.z-dn.net/?f=%3D%282%5Ctimes%20Base%20%5Ctimes%20Height%20%29%2B%20%28Side%5Ctimes%20Side%29)
For triangle:
![Base=6\,cm\\Height=10\,cm](https://tex.z-dn.net/?f=Base%3D6%5C%2Ccm%5C%5CHeight%3D10%5C%2Ccm)
Side of the square base= ![6\,cm](https://tex.z-dn.net/?f=6%5C%2Ccm)
Area of the figure is:
![=(2\times 6 \times10 )+(6\times 6)\\\\=120+36\\\\=156\,cm^2](https://tex.z-dn.net/?f=%3D%282%5Ctimes%206%20%5Ctimes10%20%29%2B%286%5Ctimes%206%29%5C%5C%5C%5C%3D120%2B36%5C%5C%5C%5C%3D156%5C%2Ccm%5E2)
The area of the square pyramid is : ![156\,cm^2](https://tex.z-dn.net/?f=156%5C%2Ccm%5E2)