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:


For the circumference, you actually multiply by 20 because of the formula πd = C [OR 2πr = C]. You meant to double the radius.
Answer:
x = -2
Step-by-step explanation:
If it’s parallel to the y-axis, it must be an x value that is straight up and down. The x coordinate here is -2 so the line must be vertical from -2 on the x-axis.
Y = (37.50/5)x
y = 7.50x
Graph: Since the graph will start at the origin (0,0) and has a constant rate of $7.50 per hour, the graph will be linear and in proportion. Some cooridinate are as follows:
x: 0 1 2 3 4 5 ....(add 1...)
y: 7.5 15 22.5 30 37.50 45....(add 7.50...)