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:
24
Step-by-step explanation:
Hello from MrBillDoesMath!
Answer:
"-3" is added to a sequence member to get the next number. This next two terms are -14 and -17
Discussion:
Note that -2 -3 = -5 and
-5 -3 = -8 and
-8 - 3 = -11
"-3" is added to a sequence member to get the next number. This implies that the next two terms are -11 -3 = -14 and -14 -3 = -17
Regards,
MrB
Answer: (C)
Step-by-step explanation:
Looking at the diagram the area occurring continuously over a period of time is the constant point which ranges from -4 to -2 making the answer C
Answer:
Step-by-step explanation:
f"(x)=2
integrating
f'(x)=2x+c
f'(1)=2+c=4
c=4-2=2
f'(x)=2x+2
integrating
f(x)=2x^2/2+2x+a
f(x)=x^2+2x+a
f(2)=-2
(2)^2+2(2)+a=-2
4+4+a=-2
a=-2-8=-10
f(x)=x^2+2x-10