I'm stuck with a question for my statistics class. Suppose a company produces bags containing a certain cereal, and the weight of the bags follow a normal distribution, with mean = 100g and std deviation = 7g. While processing, the weight is tested for each bag and if one of them weights less than 90g, the bag is left out. Last, to make deliveries, a truck is loaded with 50000 bags. What is the probability that the bags will weight more than 5Tn.?
So, I calculated the probability for a bag of weighing less than 90g, which is 0.0764, given the mean and std deviation. However, I think the 50000 bags of the last part of the exercise should have weights that follow a different normal distribution, given that there are no bags of less than 90g, but I dont know how to work this out. Could someone help me?
Thanks!