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icang [17]
3 years ago
12

Customers at TAB are charged for the amount of salad the take. Sampling suggests that the

Mathematics
1 answer:
maks197457 [2]3 years ago
7 0

Answer:

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

f_{X}(x)=\frac{1}{15-5}=\frac{1}{10};\ 5

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

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

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