Question

FILE TOOLS VIEW May2017_FE [Compatibility Mode 3. a. A recent survey from Penang revealed that 90 percent of the cars approaching Penang Bridge Toll equipped with smart tag. Find the probability that in a sample of five cars. i. All five cars will have the smart tag. [3 marks] ii. At the most one car will have the smart tag. [3 marks] iii. At least three cars will have the smart tag. [3 marks]

Answer 1

det x: No of cars with smart tag. It follows binomial distribution where p2 90% =0.9,9=1-8.0.1 m=5, PlX=x): peq-*Eco.gje (0.15-2 Ő P(X=5)- (F) (0.93%C0.1° 10,59049] * P(x = 1): Plx=0)+PLX = 1)= (5)(0.939(0.15+5)(0.93'10-09-0.00046 P(x>3)= P(x=3) + P(x=4) + P(X= 5) = (3)(0.9)(0.1)?+ (E)(0.9)*(0,1)+($)(0.9%(01)9:10.99144