Answer:
(a)

(b)


Step-by-step explanation:
Given

Solving (a): The pmf
This means that we list out the probability of each value of x.
To do this, we simply subtract the current probability value from the next.
So, we have:

The calculation is as follows:





The x values are gotten by considering where the equality sign is in each range.
means 
means 
means 
means 
means 
Solving (b):

This is calculated as:

From the given function


So:



This is calculated as:




1/4*x - 1/6*y= 5 |*18
4/5 *x + 3/8*y = 10 | *8
18/4*x -3*y= 90
32/5*x + 3y = 80
-------------------------
18/4*x+32/5*x / = 170
The answer is a
Total cost is $38.16
Multiply 36 by 0.06 (2.16)
Add 2.16 to 36 (38.16)
Answer:
3.2 units
Step-by-step explanation:
Use the law of sines
z/sin 76 = 2.6/sin 51
z = 2.6 sin 76/sin 51 = 3.2