## 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)?

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2 weeks 2021-10-11T11:34:31+00:00 1 Answer 0

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 a

The 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: 