i. What are the mean and standard deviation of the total amount of milk and flour in Jim's quadrupled pancake recipe? What is the chance he ends up with more than 15/2 cups of milk and flour together in his batter? ii.

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Problem 3
Jim is preparing pancakes for breakfast. The recipe calls for 1 cup of flour and 4 cup of milk.
He is cooking for a family, which requires him to quadruple the recipe. The mean amount of
flour he puts into the batter is 1 cup per multiple with a standard deviation of 1/16 cup. The
mean amount of milk he puts into the recipe per multiple is ¾ cup with a standard deviation
of 1/8 cup. Each multiple is independent and normally distributed for each ingredient.
i.
What are the mean and standard deviation of the total amount of milk and flour in
Jim's quadrupled pancake recipe?
What is the chance he ends up with more than 15/2 cups of milk and flour
together in his batter?
ii.
Transcribed Image Text:Problem 3 Jim is preparing pancakes for breakfast. The recipe calls for 1 cup of flour and 4 cup of milk. He is cooking for a family, which requires him to quadruple the recipe. The mean amount of flour he puts into the batter is 1 cup per multiple with a standard deviation of 1/16 cup. The mean amount of milk he puts into the recipe per multiple is ¾ cup with a standard deviation of 1/8 cup. Each multiple is independent and normally distributed for each ingredient. i. What are the mean and standard deviation of the total amount of milk and flour in Jim's quadrupled pancake recipe? What is the chance he ends up with more than 15/2 cups of milk and flour together in his batter? ii.
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