Question 6.63

manhattanvehicles

63. Manhattan Car Accidents: Number of Vehicles Involved. The New York City Police Department tracks the number of vehicles involved in each vehicle collision in Manhattan. The table shows the frequency distribution for X = the number of vehicles involved in collisions in Manhattan in July 2014.

Frequency
1 288
2 3151
3 109
4 12
5 4
8 1
  1. Construct a probability distribution table for .
  2. Find the probability that at least three vehicles are involved in a collision.
  3. Find the probability that six vehicles are involved in a collision.
  4. Find .
  5. Calculate .

6.1.63

(a)

1 0.0808
2 0.8839
3 0.0306
4 0.0034
5 0.0011
8 0.0003
Total 1.0001

(b) 0.0354 (c) 0 (d) 0.9953 (e) 0.8839