Asked Oct 24, 2019
  1. The random variable x is known to be uniformly distributed between 1.0 and 1.5.



  1. Show the graph of the probability density function
  2. Compute P(x=1.25)
  3. 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

Step 1



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

Step 2



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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