1. Assume you build a Candy castle for which you buy a bag of gummy bears, a block of chocolate and a bag of nuts. The weight of the three ingredients is a random variable (X₁, X₂ and X₃) with mean weights ₁ = 200 gram, ₂ = 400 gram and ₃ = 150 gram. The bags and blocks are not measured top perfection so the standard deviation of the three is ₁= 10, ₂ = 8 and ₃ = 15. The weight of the three ingredients is normally distributed!
2. Define the distribution of the weight of the candy castle! Make sure you name the correct distribution and the values needed to define it (e.g. X~B(10,0.3))
3. What is the chance that the castle will weigh more than 700 grams?
4. What is the chance the castle will weigh between 730 and 765 gram?
5. With 75% chance the castle will weigh between ___ and ___. (symmetric range, as always)
6. The castle weighs more than how much with 95% chance?