[Step-by-Step] A brand of breakfast cereal is available in two sizes: the weights (in grammes) of the edible contents, and packaging are both Normally distributed
Question: A brand of breakfast cereal is available in two sizes: the weights (in grammes) of the edible contents, and packaging are both Normally distributed with the following means and standard deviations:
Edible contents \(\quad\) Packaging
\[\begin{array}{cll} \text { Small } & \mu=465, \sigma=10 & \mu=25, \sigma=3 \\ \text { Standard } & \mu=625, \sigma=15 & \mu=20, \sigma=2 \end{array}\]Find the probabilities that
- a randomly chosen Standard box has a total weight exceeding 640 grammes,
- the total weight of the edible contents of 4 randomly chosen Standard boxes exceeds 2450 grammes.
- the edible contents of 4 randomly chosen Small boxes weigh more than the edible contents of 3 randomly chosen Standard boxes.
- the total weight of 4 randomly chosen Small boxes is more than the total weight of 3 randomly chosen Standard boxes.
- the total weight of 4 randomly chosen Small boxes is more than the total weight of 3 randomly chosen Standard boxes when each box also contains a small toy weighing exactly 50 grammes.
Deliverable: Word Document 
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