The random variable X is known to be uniformly distributed between 2 and 12. Compute E(X), the expected value of the distribution.

The expected value of the distribution is 7.

Step-by-step explanation:

The random variable X is known to be uniformly distributed between 2 and 12.

The probability density function of X is:

Here a = 2 and b and 12.

Compute the expected value of the distribution as follows:

Thus, the expected value of the distribution is 7.

7/2

(decimal: 3.5)

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step-by-step explanation:

hi there!

step-by-step explanation:

a roof pitch is basically for every inch rise there is 12 inches run.

the height of the roof is also known as the rafter.

formula: rafter^2 = rise^2 + run^2

rafter^2 = 5^2 + 12^2

rafter^2 = 25 + 144

rafter ^2 = 169"^2

the height of the roof from the lowest point to the highest point is 169"^2.

hope this : )