Answer:
The probability density function of <em>X</em> is:
![f_{X}(x)=\frac{1}{15-5}=\frac{1}{10};\ 5](https://tex.z-dn.net/?f=f_%7BX%7D%28x%29%3D%5Cfrac%7B1%7D%7B15-5%7D%3D%5Cfrac%7B1%7D%7B10%7D%3B%5C%205%3CX%3C15)
Step-by-step explanation:
A continuous Uniform distribution is the probability distribution of a random outcome of an experiment that lies with certain specific bounds.
Consider that random variable <em>X</em> follows a continuous Uniform distribution and the value of <em>X</em> lies between <em>a</em> and <em>b</em>.
The probability density function of the random variable <em>X</em> is:
![f_{X}(x)=\frac{1}{b-a};\ a](https://tex.z-dn.net/?f=f_%7BX%7D%28x%29%3D%5Cfrac%7B1%7D%7Bb-a%7D%3B%5C%20a%3CX%3Cb%2C%5C%20a%3Cb)
Now, in this case it is provided that the amount of salad taken is uniformly distributed between 5 ounces and 15 ounces.
The random variable <em>X</em> is defined as:
<em>Χ</em> = Salad plate filling weight.
The probability density function of the salad plate filling weight is:
![f_{X}(x)=\frac{1}{15-5}=\frac{1}{10};\ 5](https://tex.z-dn.net/?f=f_%7BX%7D%28x%29%3D%5Cfrac%7B1%7D%7B15-5%7D%3D%5Cfrac%7B1%7D%7B10%7D%3B%5C%205%3CX%3C15)