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:
<
Step-by-step explanation:
Inequality symbols:
< less than
> greater than
= equal to
≤ less than or equal to
≥ greater than or equal to
In this case, it is known that -4 is less than 5, or:
-4 < 5.
~
Answer:
No
Step-by-step explanation:
We can plug in the ordered pair (6,-1) into the equation. Remember that 6 is the x coordinate therefore we plug it in for x and that -1 is the y coordinate so we should plug it in for y.
6x+3y=6(6)+3(-1)=36-3=33
Since 33 is not equivalent to 15, (6, -1) is not a solution to the equation.
12.) First find the rate of miles/hour that the Morales family drove: 312 miles/6 hours = 52 miles/hour. To find how far they travel in 8 hours, multiply that rate by 8. 52 x 8 = 416. If they drive for 8 hours, they will travel 416 miles.
Answer:
Micky woke up at 7:30 p.m
Step-by-step explanation:
Hope it helped! please mark brainliest!