Step-by-step explanation:
Numer of events divided by total number of events.
number of events = two ( since T is only 2)
total number of events = 12 ( count all of them)
so the probability is = 2/12 which is = 1/6.
Hope this helps.
Good luck ✅.
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:
b
Step-by-step explanation:
She took 100, the store has - 100
she went back and bough
70 bucks in stuff, the store has - 70
yes, she took the $100 bill and gave it, got back $30, that means she only kept $30 from the original bill.
the store however, lost the original $100 bill plus the $70 in merchandise, so they have -$170.