Question
Asked Oct 24, 2019
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  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.

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Expert Answer

Step 1

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,

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Image Transcriptionclose

2.0 1.5 1.0 0.5 0.0 0 1 2 3 4 5 6

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Step 2

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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