Answer: 0.0250
Step-by-step explanation:
Given : A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 50.0 and 60.0 minutes.
We know that the uniform distribution is also known as rectangular distribution.
Density function for uniform distribution :

Now, the probability that a given class period runs between 51.25 and 51.5 minutes :-
![\int^{51.5}_{51.25}f(x)\ d(x)\\\\ \int^{51.5}_{51.25}\dfrac{1}{10}\ dx\\\\=\dfrac{1}{10} [x]^{51.5}_{51.25}\\\\=\dfrac{1}{10}(51.5-51.25)=0.0250](https://tex.z-dn.net/?f=%5Cint%5E%7B51.5%7D_%7B51.25%7Df%28x%29%5C%20d%28x%29%5C%5C%5C%5C%20%5Cint%5E%7B51.5%7D_%7B51.25%7D%5Cdfrac%7B1%7D%7B10%7D%5C%20dx%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B10%7D%20%5Bx%5D%5E%7B51.5%7D_%7B51.25%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B10%7D%2851.5-51.25%29%3D0.0250)
Hence, the probability that a given class period runs between 51.25 and 51.5 minutes = 0.0250
Answer:
a
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
2 - 1 is 1
Denominator stays the same
Answer:
Step-by-step explanation:
5/3 in improper fraction would be 1 2/3. This is because three goes into five once hence the one and you still have two over three left. 5/3 is an improper fraction because the numerator is greater than the denominator.
Answer:
Basically ur wrong
Step-by-step explanation: