- A company packs chickpeas into small bags and large bags.
The weight of a small bag of chickpeas is normally distributed with mean 500 g and standard deviation 5 g
A random sample of 3 small bags of chickpeas is taken.
- Find the probability that the total weight of these 3 bags of chickpeas is between 1490 g and 1530 g
The weight of a large bag of chickpeas is normally distributed with mean 1020 g and standard deviation 20 g
One large bag and one small bag of chickpeas are chosen at random.
- Calculate the probability that the weight of the large bag of chickpeas is at least 30 g more than twice the weight of the small bag of chickpeas. Show your working clearly.