Question

A traffic control engineer reports that 70% of the vehicles passing through a checkpoint are
from within the state. What is the probability that fewer than 2 of the next 11 vehicles are
from out of state? Use the Binomial table from the back of the book.

Answer 1

Solution : Given data a = 0.7 check point a are Probability that vehicles passing through check potnt ate within the state (P) = 70% Probability that vehicles passing through 21mm out of state q = IP 1- 0.7 17-03 - We need to detamine the probability that gewa1 * Text Il vehicles ale zlom' out 0.3 q tham 2 of state. Acording to Binomial distribution T k nok P(X=k) qp to Here m— number of vehicles undai satration n 11 k- q 0.3 number &vehicles passing through checkpoint from out of state P=0.7 We need to determine P(x<k) whoje k=2 FX42) - P(X=0) +P(x=1) + "G. V "Co (0-3) (0.7)"+ 1G, (0-3)*(0:7)" 11-1 "Co qºplo 11

(0.7) 10 > PCX<2) Co. (0-3°C007)" + *l'c, Cozy (1) (1) (0.7)" + (11) (0-3) (0.77 (0.7)" +. (11) (0:3) (0-7) 0.01977 + 0.09322 lo 0.1129.9 . PX4-2 0.11.299 Answor.