STATS Lesson 5.3
Presentation
•
Mathematics
•
12th Grade
•
Easy
+5
Standards-aligned
Amy Edwards
Used 33+ times
FREE Resource
30 Slides • 16 Questions
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Open Ended
Choose an American adult at random.
Define two events:
A = the person has high cholesterol: 240
milligrams per deciliter of blood (mg/dl)
or above
B = the person has borderline high
cholesterol: 200 to < 240 mg/dl
According to the American Heart Association, P(A) = 0.16 and P(B) = 0.29.
1. Explain why events A and B are mutually exclusive.
4
Open Ended
Choose an American adult at random.
Define two events:
A = the person has high cholesterol: 240
milligrams per deciliter of blood (mg/dl)
or above
B = the person has borderline high
cholesterol: 200 to < 240 mg/dl
According to the American Heart Association, P(A) = 0.16 and P(B) = 0.29.
2. Say in plain language what the event “A or B” is. Find P(A or B).
5
Open Ended
Choose an American adult at random.
Define two events:
A = the person has high cholesterol: 240
milligrams per deciliter of blood (mg/dl)
or above
B = the person has borderline high
cholesterol: 200 to < 240 mg/dl
According to the American Heart Association, P(A) = 0.16 and P(B) = 0.29.
3. Let C be the event that the person chosen has normal cholesterol: less than 200 mg/dl. Find P(C).
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Multiple Choice
What does it mean when events are 'mutually exclusive'?
They can happen at the same time
They cannot happen at the same time
They are unrelated
They are dependent.
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Multiple Choice
According to the addition rule for mutually exclusive events, P(A or B) is equal to:
P(A) + P(B)
P(A) * P(B)
P(A) - P(B)
P(A) / P(B)
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Multiple Choice
What is the general addition rule for two events A and B?
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = P(A) * P(B)
P(A or B) = P(A) + P(B)
P(A or B) = P(A) - P(B)
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Multiple Choice
Why is the probability calculation of 211/200 considered wrong?
It is less than 1.
It is equal to 1.
It is greater than 1.
It is exactly 0.
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Multiple Choice
What does a Venn diagram consist of?
One or more circles surrounded by a rectangle
Two rectangles and a circle
Only circles
Only rectangles
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Multiple Choice
In a Venn diagram, each circle represents ______.
a rectangle
an event
a sample space
a process
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Labelling
A guidance counselor is planning schedules for 30 students. 16 want to take Spanish and 11 want to take Latin. 5 Say they want to take both. Display this information on the Venn diagram.
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Labelling
Hector has entered the following names in the contact list of his new cellphone: Alicia, Brisa, Steve, Don, and Ellis.
Set B: The names begin with a vowel
Set E: The name ends with a vowel
Label the Diagram.
Alicia
Ellis
Don
Steve
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Multiple Choice
What is the general addition rule for two events A and B?
P(A ∪ B) = P(A) + P(B) + P(A ∩ B)
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
P(A ∪ B) = P(A) - P(B) + P(A ∩ B)
P(A ∪ B) = P(A) - P(B) - P(A ∩ B)
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Draw
In a large apartment complex, 30% of residents read USA Today, 25% read the New York Times, and 15% read both papers. Suppose we select a resident of the apartment complex at random and record which of the two papers the person reads.
Make a Venn diagram to display
the sample space of this chance
process using the events A: reads
USA Today and B: reads New York
Times.
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Poll
Can you:
LT1 - Use a two-way table to find probabilities.
Not at all
With Difficulty
Somewhat
Very Well
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Poll
Can you:
LT2 - Calculate probabilities with the general addition rule.
Not at all
with difficulty
somewhat
very well
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Poll
Can you:
LT3 - Use a Venn diagram to find probabilities.
Not at all
with difficulty
somewhat
Very well
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