Find the probability for the given problems.
The following two problems (i.e., problems 12) refer to the following information:
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)

0.2

0.3

0.2

0.15

0.1

0.05

1. What is the likelihood that in a given week there will be at most 3 accidents?
a) 0.70
b) 0.85
c) 0.35
d) 0.15
e) 1.00
2. By the third day of a particular week, 2 accidents have by now occurred in the intersection. What is the likelihood that there will be less than a total of 4 accidents during that week?
a)1.00
b)0.90
c)0.85
d)0.70
e)0.50