(a).
To calculate: The probability that the cafeteria serves meat loaf if tomorrow is Monday.
The probability that the cafeteria serves meat loaf is
Given information:
If the school cafeteria serves meat loaf, there is a
Calculation:
The change of probability of peas being served depends on the serving meatloaf. So, the branches related to meatloaf are on the left, and branches related to peas on the right:
As there are
To calculate the probability of meat loaf not being served, subtract
If meat loaf is served there is a
If meat loaf is not being served there is
Use these numbers to complete our tree diagram:
It can see that the probability of meat loaf being served is:
(b).
To calculate: The probability that the cafeteria serves meat loaf and peas if tomorrow is Monday.
The probability that the cafeteria serves meat loaf and peas is
Given information:
If the school cafeteria serves meat loaf, there is a
Calculation:
The formula used to calculate the probability of two event occurring simultaneously is:
Now, use this formula to calculate the probability of meat loaf and peas both being served:
(c).
To calculate: The probability that the cafeteria serves peas if tomorrow is Monday.
The probability that the cafeteria serves peas is
Given information:
If the school cafeteria serves meat loaf, there is a
Calculation:
The formula used to calculate the probability of two event occurring simultaneously is:
Now, use this formula to calculate the probability of peas being served if meat loaf both is and is not served:
The formula used to calculate the probability of one of the given two events occurring is:
Substitute the values:
Chapter 10 Solutions
PRECALCULUS:...COMMON CORE ED.-W/ACCESS
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- Use the definite integral to find the area between the x-axis and f(x) over the indicated interval. Check first to see if the graph crosses the x-axis in the given interval. f(x)=4x-12; [2,6] The area between the x-axis and f(x) is (Type an integer or a simplified fraction.)arrow_forwardEvaluate the definite integral. 70 √5√2-6 3 dz 70 S 5√2-6 dz= 7 江 (Type an integer or decimal rounded to two decimal places as needed.)arrow_forwardFind the area between the following curves. 2 y=x³-x²+x+4; y=5x² -7x+4 The area between the curves is (Simplify your answer.) ...arrow_forward
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