3- A land transport company points its drivers to three routes between two cities; by the bridge...
Question:
3- A land transport company points its drivers to three routes between two cities; by the bridge viaduct, by the park promenade, or by taking the road.if a driver goes through the viaduct, the risk of entering a traffic congestion is 1/3;
f it were congestion, the next day would take the park promenade with the probability of 2/3 or road with 1/3;
If the driver do not encounter congestion, the next day he would go again through the viaduct with a probability of 1/2 for the park promenade 1/6 ride or 1/3 road. if the driver took the park promenade, the risk of being in a congestion is 1/2 if you entered a traffic congestion, the next day you would go to the viaduct;
if he did not stumble, the next day he would take the viaduct with equal probability the promenade and the road. if the driver takes the road, he will invariably be late, and for that reason he would never take that road two days in a row, but the next day he would go through the viaduct with a probability of 1/3 or a 2/3 park promenade. If he takes the road on Tuesday, what is the probability that the Friday he should take the viaduct? What proportion of the times must the trucker travel through the viaduct, the park promenade or the highway?
Vector Mechanics for Engineers Statics and Dynamics
ISBN: 978-0073212227
8th Edition
Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell