In: Statistics and Probability
A seller claims that the lots of firewood he sells are made up of logs whose weight (in kg) is well modeled by a random variable whose average value is equal to 3 kg and the standard deviation is equal to 0.25 kg. José bought 500 kg of firewood but got the feeling that he had been cheated in the Weight. He counted the logs one by one and came to the conclusion that the seller delivered 170 logs. How likely is it that José was deceived?