The following three questions (i.e., questions 1-3) 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) 0.20 0.30 0.20 0.15 0.10 0.05

Question 1: Point value: 10

1.) What is the probability that in a given week there will be at most three 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 already occurred in the intersection. What is the probability 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

3.) On average, how many accidents are there in the intersection in a week?

(a) 5.3

(b) 2.5

(c) 1.8

(d) 0.30

(e) 0.1667