Quantitative analysis
posted by george .
3. A service station owner sells Firmontheroad tyres which are ordered from a local tyre distributor. The distributor receives tyres from two plants, A and B. When the owner of the service station receives an order from the distributor, there is a 0.5 probability that the order consists of tyres from plant A or plant B. However, the distributor will not tell the owner which plant the tyres come from. The owner knows that 20% of all tyres produced at plant A are defective, whereas only 10% of the tyres produced at plant B are defective. When an order arrives at the station, the owner is allowed to inspect it briefly. The owner takes this opportunity to inspect one tyre to see if it is defective. If the owner believes the tyre came from plant A, the order will be sent back. Using Baye’s rule, determine the posterior probability that a tyre is from plant A, given that the owner finds that it is defective.
Respond to this Question
Similar Questions

Statistics
A local fire station receives an average of 0.5 rescue calls per day. Find the probability that on a randomly selected day, the fire station will receive fewer than two calls. (Round your answer to the nearest thousandth.) 
Statistics
A local fire station receives an average of 0.5 rescue calls per day. Find the probability that on a randomly selected day, the fire station will receive fewer than two calls. 
advanced algebra
ms. driva reck drove from her home to a service station at 48 km/h. she returned home by bike at 16 km/h. the entire trip took 4 hours. How far was the service station from ms. reck's home? 
math (algerba 1)
Ms. Driva Reck drove from her home to a service station at 48km/h. She returned home by bicycle at 16km/h. The entire trip took 4 hours. How far was the service station from Ms. Reck's home? 
Physics
why is the pressure on the front tyres is higher than the pressure on the rear tyres in a car but the pressure of the front tyre is lower than the pressure on the rear tyre in a bicycle? 
Physics (pls help!)
why is the pressure on the front tyres is higher than the pressure on the rear tyres in a car but the pressure of the front tyre is lower than the pressure on the rear tyre in a bicycle? 
math
The owner of a service station receives a loan of $8,500 at 10.5% for 7 months. Find the amount of simple interest 
Math
1. If a manufacturing company sells a shirt for $15 to its distributors and the distributor sells it for $40, the distributor makes $25 in profit. What is the rate of return? 
Physics
A car has wheels with tyres on, which are 75cm in diameter. The car is travelling at a constant speed of 60km/hr. If no slipping is observed between the wheels(tyres) and the road, calculate the angular speed and the acceleration of … 
physics
a car with 4 wheels has the tyres at a pressure of 20N/cm2. Each tyre of 100cm2 in contact with the road. what is the weight of the car.