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A density curve of a uniform distribution takes the constant value p over the interval from 0 to
0.8 and is zero outside that range of values. This means that data described by this distribution
take values that are uniformly spread between 0 and 0.8.
What does the total area under this density curve have to be?
What is the value of p (
Solution
The area under any probability density curve has to be 1, by definition. This area
represents 100% of the possible outcomes. I do not know what the notation means. It is possible
to find the probability a variable is between those two values, but not either one by itself. Since
the distribution is uniform, 2/7 of the data lie above 0.5. I'll let you put it into percents.
Similarly, 1/7 of the data lies below 0.1. For this, find the percentage of data below 0.6 (see the
previous to parts of the problem if you still aren't sure how to do this). Then find the percentage
of the data below 0.2. Finally, subtract the smaller from the larger and that will be how much is
between.

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A density curve of a uniform distribution takes the constant valu.pdf

  • 1. A density curve of a uniform distribution takes the constant value p over the interval from 0 to 0.8 and is zero outside that range of values. This means that data described by this distribution take values that are uniformly spread between 0 and 0.8. What does the total area under this density curve have to be? What is the value of p ( Solution The area under any probability density curve has to be 1, by definition. This area represents 100% of the possible outcomes. I do not know what the notation means. It is possible to find the probability a variable is between those two values, but not either one by itself. Since the distribution is uniform, 2/7 of the data lie above 0.5. I'll let you put it into percents. Similarly, 1/7 of the data lies below 0.1. For this, find the percentage of data below 0.6 (see the previous to parts of the problem if you still aren't sure how to do this). Then find the percentage of the data below 0.2. Finally, subtract the smaller from the larger and that will be how much is between.