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StatisticsQ&A LibraryThe 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.Question

Asked Oct 24, 2019

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- 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.

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,

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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