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Ratling [72]
2 years ago
15

Suppose that the number of pounds of grapes sold by the Smalltown Co-op grocery store in a day is equally likely to be anywhere

between 0 and 100 pounds (fractional values are possible). If you use a probability density function to describe the number of pounds of grapes sold daily by the store, the height of the function for any number of pounds between 0 and 100 is
Mathematics
1 answer:
Alex2 years ago
4 0

Answer:

The height of the function for any number of pounds between 0 and 100 is 0.01.

Step-by-step explanation:

As described, the probability density function is a uniform probability density function, between the values 0 and 100 pounds.

To calculate the height h of the probability density function, we can write:

\int\limits^{100}_0 {h} \, dx=1

If we solved this integration and rearrange

\int\limits^{100}_0 {h} \, dx=1\\h*(100-0)=1\\100*h=1\\h=0.01

The value of the height of the probability density function is 0.01 for every value between 0 and 100 pounds.

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