Answer:No
Step-by-step explanation:
Roughly 347 miles per minute or roughly 6 miles per second.
Answer:
The probability of assembling the product between 7 to 9 minutes is 0.50.
Step-by-step explanation:
Let <em>X</em> = assembling time for a product.
Since the random variable is defined for time interval the variable <em>X</em> is continuously distributed.
It is provided that the random variable <em>X</em> is Uniformly distributed with parameters <em>a</em> = 6 minutes and <em>b</em> = 10 minutes.
The probability density function of a continuous Uniform distribution is:
![f_{X}(x)=\left \{ {{\frac{1}{b-a};\ a](https://tex.z-dn.net/?f=f_%7BX%7D%28x%29%3D%5Cleft%20%5C%7B%20%7B%7B%5Cfrac%7B1%7D%7Bb-a%7D%3B%5C%20a%3CX%3Cb%2C%5C%20a%3Cb%7D%20%5Catop%20%7B0%3B%5C%20otherwise%7D%7D%20%5Cright.)
Compute the probability of assembling the product between 7 to 9 minutes as follows:
![P(7](https://tex.z-dn.net/?f=P%287%3CX%3C9%29%3D%5Cint%5Climits%5E%7B9%7D_%7B7%7D%7B%5Cfrac%7B1%7D%7B10-6%7D%7D%5C%2C%20dx%5C%5C)
![=\frac{1}{4}\times \int\limits^{9}_{7}{1}\, dx](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B4%7D%5Ctimes%20%5Cint%5Climits%5E%7B9%7D_%7B7%7D%7B1%7D%5C%2C%20dx)
![=\frac{1}{4}\times [x]^{9}_{7}\\](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B4%7D%5Ctimes%20%5Bx%5D%5E%7B9%7D_%7B7%7D%5C%5C)
![=\frac{1}{4}\times (9-7)\\](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B4%7D%5Ctimes%20%289-7%29%5C%5C)
![=\frac{1}{2}\\=0.50](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D%5C%5C%3D0.50)
Thus, the probability of assembling the product between 7 to 9 minutes is 0.50.
B. AAS congruence theorem.