Find the probability for the given problems.
The following two problems (i.e., problems 1-2) 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