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A random variable X follows the continuous uniform distribution with a lower bound of −8 and an upper bound of 17. a. What is the height of

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A random variable X follows the continuous uniform distribution with a lower bound of −8 and an upper bound of 17. a. What is the height of

Question

A random variable X follows the continuous uniform distribution with a lower bound of −8 and an upper bound of 17. a. What is the height of the density function f(x)?

## Answers ( )

Answer:a)

And the height for the density function would be 0.04

b)

And the deviation is given by:

c)

Step-by-step explanation:For this case we assume the X is the random variable of interest and is given by:

Part aThe density function is given by:

And the height for the density function would be 0.04

Part b What are the mean and the standard deviation for the distribution? (Round your answers to 2 decimal places.)

For this case the variance is given by:

And the deviation is given by:

Part c: Calculate P(X ≤ −5). (Round intermediate calculations to 4 decimal places and final answer to 4 decimal places.)

For this case we can use the cumulative distribution function given by:And we got: