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)?

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:

answer: bearing in mind that a rectangle has a perimeter of length + length + width + width.

step-by-step explanation:

p = perimeter

l = length

x=width

p = 2l + 2x

p = 2(l+x)     < ==== perimeter of the base of the box.