1) p + 8
Substitute 2 in for the variable.
2 + 8 =

2) 3p
Substitute 2 in for the variable.
3(2) =

3) 16 - p
Substitute 2 in for the variable.
16 - 2 =

4) -12 ÷ p
Substitute 2 in for the variable.
-12 ÷ 2 =
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:
k = 12
Step-by-step explanation:
Given:
The equation 
To find:
Value of
for which the given equation has one distinct real solution.
Solution:
The given equation is a quadratic equation.
There are always two solutions of a quadratic equation.
For the equation:
to have one distinct solution:

Here,
a = 2,
b = -k and
c = 18
Putting the values, we get:

The equation becomes:

And the one root is:

Okay so the answer would be
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