The following table contains the probability distribution for the number of traffic accidents daily in a small city:

number of accidents daily (x) p(x = xi)

0 0.10

1 0.20

2 0.45

3 0.15

4 0.05

5 0.05

a. compute the mean number of accidents per day.

b. compute the standard deviation.

a) 2 accidents per day

b) .7071 accidents

Step-by-step explanation:

a) The mean is the sum of each possible number of accidents multiplied by its respective probability. So,

E(x) = (0)(.1) + (1)(.2) + (2)(.45) + (3)(.15) + (4)(.05) + (5)(.05) = 2

b) The variance V(x) = E(x^2) - E(x)^2, and the standard deviation is the square root of the variance. So,

V(x) = E(x^2) - (2)^2

= (0)(.1) + (1)(.2) + (4)(.45) + (9)(105) + (16)(.05) + (25)(.05) - 4 = 0.5

sqrt(0.5) = .7071

not enough information

step-by-step explanation:

we cannot know this, because the other students could have handed out 10 flyers, or they could have handed out 100. one way, the mean would go up, and another way, the mean would go down.