Question

A survey was conducted, and one of the questions that was asked was how many speeding tickets that the person had been cited for in the past 12 months. The results are in the table below. x P(x) 0 0.6 1 0.2 2 0.1 3 0.08 4 0.02 A) Calculate E(x) B) Calculate E(x2) C) Calculate V(x) D) Calculate σ

Answer 1

Solution:

Given:

x	P(x)
0	0.60
1	0.20
2	0.10
3	0.08
4	0.02

Part a) Calculate E(x)

x	P(x)	x*P(x)
0	0.60	0
1	0.20	0.2
2	0.10	0.2
3	0.08	0.24
4	0.02	0.08

Thus

Part B) Calculate E(x²)

x	P(x)	x^2 *P(x)
0	0.60	0.00
1	0.20	0.20
2	0.10	0.40
3	0.08	0.72
4	0.02	0.32

Part C) Calculate V(x)

Part D) Calculate