Answer:
The probability density function of <em>X</em> is:

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:

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:

The domain is two and the range is -4
Answer:
The answer to the question provided is 14.4 ft.
Step-by-step explanation:
We can solve this using proportion!

There are two ways to find or determine for the value of
c. In the first method, we can use addition and subtraction to isolate the
variable c from the other variables. In the second method, we can use the
transposition of variables to isolate the variable c from the other variables.
So solving for the value of c:
<span>Using 1st method: Addition and Subtraction</span>
We are given:
240 = 6 z + c
Simply subtract 6 z on both sides:
240 – 6 z = 6 z + c – 6 z
Cancelling 6 z – 6 z on the right side:
240 – 6 z = c
or
c = 240 – 6 z
<span>Using the 2nd method: Transposition</span>
240 = 6 z + c
What we are going to do here is to simply transpose the
variable 6 z from the right side to the left side of the equation so that we
are left with c alone on the right side. Always remember that when we
transpose, the symbol becomes opposite. That is:
240 + (- 6 z) = c
240 – 6 z = c
or
<span>c = 240 – 6 z</span>