There's a set of 8 bags with the following weights in grams given:
1013, 997, 1013, 1013, 1004, 985, 991, 997
The mean is 1001.625, unbiased standard deviation is 10.86.
I have the following question on an exam paper:
Assuming the standard deviation is 10 and the bags have a mean weight of 1kg (1000g), calculate the probability that five randomly selected bags together weigh more than 4.99kg.
Could someone please help me calculate this? How do I get from the weight of the bags, mean and standard deviation to the probability that five random ones weight more than something?