You would divide 318.75 by 50 and get an answer of 6.375 inches
Answer:
he was suppost to round up
Step-by-step explanation:
Answer:
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Answer:
miles
Step-by-step explanation:
We are given that
![\beta=10000 miles](https://tex.z-dn.net/?f=%5Cbeta%3D10000%20miles)
Exponential distribution function
![f(x)=\frac{1}{\beta}e^{-\frac{x}{\beta}}, x\geq 0](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B1%7D%7B%5Cbeta%7De%5E%7B-%5Cfrac%7Bx%7D%7B%5Cbeta%7D%7D%2C%20x%5Cgeq%200)
0, otherwise
Using the formula
![f(x)=\frac{1}{10000}e^{-\frac{x}{10000}},x\geq0](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B1%7D%7B10000%7De%5E%7B-%5Cfrac%7Bx%7D%7B10000%7D%7D%2Cx%5Cgeq0)
0, otherwise
![E(x)=\int_{-\infty}^{\infty}xf(x) dx](https://tex.z-dn.net/?f=E%28x%29%3D%5Cint_%7B-%5Cinfty%7D%5E%7B%5Cinfty%7Dxf%28x%29%20dx)
Using the formula
![\lambda=E(x)=\frac{1}{10000}\int_{0}^{\infty}xe^{-\frac{x}{10000}}dx](https://tex.z-dn.net/?f=%5Clambda%3DE%28x%29%3D%5Cfrac%7B1%7D%7B10000%7D%5Cint_%7B0%7D%5E%7B%5Cinfty%7Dxe%5E%7B-%5Cfrac%7Bx%7D%7B10000%7D%7Ddx)
![\lambda=\frac{1}{10000}([-10000xe^{-\frac{x}{10000}}]^{\infty}_{0}+10000[-10000e^{-\frac{x}{10000}}]^{\infty}_{0})](https://tex.z-dn.net/?f=%5Clambda%3D%5Cfrac%7B1%7D%7B10000%7D%28%5B-10000xe%5E%7B-%5Cfrac%7Bx%7D%7B10000%7D%7D%5D%5E%7B%5Cinfty%7D_%7B0%7D%2B10000%5B-10000e%5E%7B-%5Cfrac%7Bx%7D%7B10000%7D%7D%5D%5E%7B%5Cinfty%7D_%7B0%7D%29)
Using formula
![\int u\cdot vdx=u\int vdx-\int (\frac{du}{dx}\int vdx)dx](https://tex.z-dn.net/?f=%5Cint%20u%5Ccdot%20vdx%3Du%5Cint%20vdx-%5Cint%20%28%5Cfrac%7Bdu%7D%7Bdx%7D%5Cint%20vdx%29dx)
![\lambda=\frac{1}{10000}(0-(10000)^2(0-1))=10000](https://tex.z-dn.net/?f=%5Clambda%3D%5Cfrac%7B1%7D%7B10000%7D%280-%2810000%29%5E2%280-1%29%29%3D10000)
Hence, the value of
miles