Answer:
The probability of selecting a class that runs between 50.2550.25 and 51.2551.25 minutes is 0.10
Step-by-step explanation:
The Uniform Distribution, also known as Rectangular Distribution, is a type of Continuous Probability Distribution. It has a continuous random variable restricted to a finite interval and its probability function has a constant density during this interval.
The formula of probability if given by:
f(x)=
[tex]\left \{ {{\frac{1}{b-a}; \ a \leq x \leq b } \atop {0}; \ x \ otherwise } \right.[/tex]
In this exercise a= 46.0 and b= 56.0
The probability of selecting a class that runs between 50.2550.25 and 51.2551.25 minutes is:
[tex]\int\limits^{51.25}_{50.25} {\frac{1}{56-46} } \, dx = \int\limits^{51.25}_{50.25} {\frac{1}{10} } \, dx = \frac{1}{10} \times (51.25 - 50.25)=\frac{1}{10}=0.1[/tex]
