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Social ScienceThe random variable x is known to be uniformly distributed between 1.0 and 1.5. Show the graph of the probability density functionCompute P(x=1.25)Compute P(1.0 ≤ x ≤ 1.25)Please do not solve in Microsoft Excel. I would like to see the equation/steps involved to solving it because my professor is not using excel to teach.
- The random variable x is known to be uniformly distributed between 1.0 and 1.5.
- Show the graph of the probability density function
- Compute P(x=1.25)
- Compute P(1.0 ≤ x ≤ 1.25)
Please do not solve in Microsoft Excel. I would like to see the equation/steps involved to solving it because my professor is not using excel to teach.
Expert Answer
a.
Show the graph of the probability density function of Uniform distribution.
From the given information, the random variable X uniformly distributed between 1.0 and 1.5.
The probability density function for uniform random variable X is f(x)=1/(1.5-1)=2.
The plot of probability density function of uniform random variable X is,
Image Transcriptionclose
2.0 1.5 1.0 0.5 0.0 0 1 2 3 4 5 6
b)
The value of P(x=1.25) is 0 and it is calculated below:
For continuous distributions, the probability value at a particular point is zer...
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