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:




Answer:
36 cubic yards
Step-by-step explanation:
If each cube is 1 cubic yard by 1 cubic yard, then there are 3 cubic yards for the width, 3 cubic yards for height, and 4 cubic yards for length. Finding the volume of a rectangular prism is L*W*H, 3*3*4 = 36. So, 36 cubic yards is your answer.
<span>(7x+3)-(2x+1)
=</span><span>7x + 3 - 2x - 1
= 5x + 2</span>
Answer:
$1435.50 is your answer
Step-by-step explanation:
$2610 - 45% = 1435.50