e approaching the crossroad junction from town A can either turn left, right, or go straight on. From time to time it has been noted that the number of vehicles approaching this particular junction from town A is 55% turn left, 15% turn right and 30% go straight on. The direction taken by any vehicle at the junction is independent of the direction taken by the other vehicles at the junction. a) Find the probability of the next three vehicles approaching the junction from town A, one goes straight on and the other two either both turns left, or both turn right. b) Three vehicles approach the junction from town A. Given that all three drivers choose the same direction at the junction, find the probability that they all go straight on.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Question 28
Any vehicle approaching the crossroad junction from town A can either turn left, right, or go straight on. From time to time it has been noted that the number of vehicles approaching this particular junction from town A is 55% turn left, 15% turn right and 30% go straight on. The direction taken by any vehicle at the junction is independent of the direction taken by the other vehicles at the junction.
a) Find the probability of the next three vehicles approaching the junction from town A, one goes straight on and the other two either both turns left, or both turn right.
b) Three vehicles approach the junction from town A. Given that all three drivers choose the same direction at the junction, find the probability that they all go straight on.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
