MATH Prob.
posted by Twg .
The number of accidents that occur at the intersection of Pine and Linden streets between 3 p.m. and 6 p.m. on Friday afternoons is 0, 1, 2, or 3, with probabilities of 0.84, 0.13, 0.02, and 0.01, respectively. Graph this probability distribution. What is the expected value for the random variable given the number of accidents?

The distribution should be of the Poisson type. There is a certain expected value "a" of an accident occurring during that interval on a given Friday. You can compute it using
a = 0.84*0 + 0.138*1 + 0.02*2 + 0.01*3 a = 0.208
For a = 0.208, the probability of m=0 accidents according to a Poisson distribution is
P(0) = (a^m e^a)/m! = e^.208 = 0.812
P(1) = 0.208*0.812/1 = 0.169
P(2) = 0.208^2*0.812/2 = 0.018
P(3) = 0.208^3*0.812/6 = 0.001
These are in pretty good agreement with your numbers, except for the probability of 3 accidents. Did you mean to write 0.001? 
you completely lost me when you responded and put 0.138*1 in your reply. May I ask where did you get 0.138?
Respond to this Question
Similar Questions

math
the probabilities that 3 friends A,B andC pass a driving test are1/3,1/4,2/5 respectively.All 3 take the test find the probability that(a)aa 3 failed the test (b) only B passes the test(c) only 2 of them pass the test (d)at least 1 … 
math
The number of accidents that occur at the intersection of Pine and Linden streets between 3 p.m. and 6 p.m. on Friday afternoons is 0, 1, 2, or 3, with probabilities of 0.84, 0.13, 0.02, and 0.01, respectively. Graph this probability … 
Math
The number of accidents that occur at the intersection of Pine and Linden streets between 3 p.m and 6p.m on Friday afternoons is 0,1,2,or 3 with probabilities of 0.84, 0.13, 0.02 and 0.01, respectively. What is the expected value for … 
math157
The number of accidents that occur at the intersection of Pine and Linden streets between 3 p.m. and 6 p.m. on Friday afternoons is 0, 1, 2, or 3, with probabilities of 0.84, 0.13, 0.02, and 0.01, respectively. Graph this probability … 
math/graphing
The number of accidents that occur at the intersection of Pine and Linden streets between 3 p.m. and 6 p.m. on Friday afternoons is 0, 1, 2, or 3, with probabilities of 0.84, 0.13, 0.02, and 0.01, respectively. Graph this probability … 
Math
The number of accidents that occur at the intersection of Pine and Linden streets between 3 p.p and 6 p.m. on Friday afternoons is 0, 1, 2, or 3, with probabilities of 0.84, 0.13, 0.02, and 0.01, respectively. Graph this probability … 
MATH
The number of accidents that occur at the intersection of Pine and Linden streets between 3 p.m. and 6 p.m. on Friday afternoons is 0, 1, 2, or 3, with probabilities of 0.84, 0.13, 0.02, and 0.01, respectively. Graph this probability … 
Math
The number of accidents that occur at the intersection of Pine and Linden streets between 3 p.m. and 6 p.m. on Friday afternoons is 0, 1, 2, or 3,with probabilities of 0.84, 0.13, 0.02, and 0.01, respectively. Graph this probability … 
math
The number of accidents that occur at the intersection of Pine and Linden streets between 3 pm. and 6 pm. on Friday afternoons is 0,1,2, or 3, with probabilities of 0.84, 0.13. 0.02, and 0.01. What is the expected value for the random … 
statistics
Suppose that the number of accidents occurring in an industrial plant is described by a Poisson process with an average of 1.5 accidents every three months. During the last three months, four accidents occurred. (a)probability that …