The random variable X, representing the number of accidents in a certain intersection in a week, has the following probability distribution:
| x |
0 |
1 |
2 |
3 |
4 |
5 |
| P(X=x) |
0.20 |
0.30 |
0.20 |
0.15 |
0.10 |
0.05 |
By the third day of a particular week, 2 accidents have already occurred in the intersection. What is the probability that there will be less than a total of 4 accidents during that week?
1.00
0.70
0.50
Please show work.