PLEASE HELP!!!!!! I can't quite understand how to do this.

Question

anonymous · Answer

The probability distribution of the number of accidents in a week at an intersection, based on past data, is given below. Find the expected number of accidents in one week. Round your answer to the nearest hundredth.

anonymous · Answer

number of accidents (n)| 0 | 1| 2| 3
Probability of n accidents| 0.75| 0.15| 0.08| 0.02

anonymous · Answer

what kinda distribution do ya use?

anonymous · Answer

That's where I am at a loss. I'm not quite sure. I'm getting confused because of the past problems I have been doing

freckles · Answer

since it is discrete 
$$E(\text{ accidents in one week })=\sum_{n=0}^{3} n \cdot p(n)$$

anonymous · Answer

probability mass function?

freckles · Answer

aka also known as mean value

anonymous · Answer

Oh! That makes sense! I was over complicating it again...

freckles · Answer

have you found the sum of the products that I mentioned?

freckles · Answer

that is have you computed:
0*.75+1*.15+2*.08+3*.02

anonymous · Answer

Yes, indeed I was working on that. cx

anonymous · Answer

dayum probability magics

anonymous · Answer

for my final answer I got 0.37

freckles · Answer

ok sounds awesome

freckles · Answer

that is what I have gotten too