Exact Form:
x = 15/4,-4
Decimal Form:
x = 3.75, -4
Mixed Number Form:
x = 3 3/4, -4
Answer:
2880
Step-by-step explanation:
V=whl=12·12·20=2880
a.
is a proper joint density function if, over its support, is non-negative and the integral of is 1. The first condition is easily met as long as . To meet the second condition, we require
b. Find the marginal joint density of and by integrating the joint density with respect to :
Then
c. This probability can be found by simply integrating the joint density: