1. anonymous

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.

2. anonymous

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

3. anonymous

what kinda distribution do ya use?

4. anonymous

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

5. freckles

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

6. anonymous

probability mass function?

7. freckles

aka also known as mean value

8. anonymous

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

9. freckles

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

10. freckles

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

11. anonymous

Yes, indeed I was working on that. cx

12. anonymous

dayum probability magics

13. anonymous

for my final answer I got 0.37

14. freckles

ok sounds awesome

15. freckles

that is what I have gotten too