# The 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.

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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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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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