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