Q1. (3 points) Consider each of the scenarios: Can -0.50 be the probability of s
ID: 3335670 • Letter: Q
Question
Q1. (3 points) Consider each of the scenarios:
Can -0.50 be the probability of some event? Why or why not?
Can 1.45 be the probability of some event? Why or why not?
Can 0.50 be the probability of some event? Why or why not?
Q2. (2 points) Suppose today’s weather forecast on weather.com says there is a 80% probability of rain today. What is the compliment of the event “rain today”? What is the probability of that compliment? Based on this probability would it be reasonable to have a picnic outside today?
Use this information to answer questions Q3-Q7.
The following is the roster for a small upper-division biology class at a university. The course is offered to both biology and non-biology majors. Each row represents the major, class standing, and course grade.
Student
Major
Class Standing
Grade
Cameron
Biology
Junior
A
Tamara
Biology
Junior
A
Jenny
Biology
Junior
A
Rachel
Biology
Junior
A
Lan
Other
Senior
A
Sam
Biology
Senior
B
Carlos
Biology
Senior
B
Jacob
Biology
Sophomore
B
Lamar
Biology
Sophomore
B
Heather
Other
Junior
B
Daniel
Other
Senior
B
Marcus
Other
Senior
B
Carrie
Biology
Junior
C
Sean
Other
Junior
C
Tina
Other
Junior
C
Robert
Biology
Senior
D
Tara
Other
Senior
D
Jeremy
Biology
Sophomore
F
Q3. (6 points) Of the students in the class the chance a randomly selected student is:
Round all probabilities to three decimal places.
a Biology major is: P(Biology Major) =
a senior is: P(Senior) =
a Biology major AND a Senior is: P(Biology AND Senior) =
Explain step by step as if you giving a solution to someone who does not know anything about probability how you came up with your answer for part c.
Q4. (4 points) Complete the given Venn diagram by filling in probabilities of each section. Hints: All probabilities in the diagram should add to one. Start with the intersections and work outward. The whole circle for Biology should add to what you have in part Q3a).
Q5. (2 points) In your Venn diagram what event does the probability that is outside your circles represent?
Q6. (3 points) Given we randomly select a Senior what is the chance they are a Biology major? That is, what is the conditional probability that a randomly selected student is a Biology major GIVEN they are an Senior student? P(Biology Major | Senior) =
Q7. (3 points) Create a finite probability model for the variable Grade in the small Biology course. Round to three decimal places.
Student
Major
Class Standing
Grade
Cameron
Biology
Junior
A
Tamara
Biology
Junior
A
Jenny
Biology
Junior
A
Rachel
Biology
Junior
A
Lan
Other
Senior
A
Sam
Biology
Senior
B
Carlos
Biology
Senior
B
Jacob
Biology
Sophomore
B
Lamar
Biology
Sophomore
B
Heather
Other
Junior
B
Daniel
Other
Senior
B
Marcus
Other
Senior
B
Carrie
Biology
Junior
C
Sean
Other
Junior
C
Tina
Other
Junior
C
Robert
Biology
Senior
D
Tara
Other
Senior
D
Jeremy
Biology
Sophomore
F
Explanation / Answer
Q1. (3 points) Consider each of the scenarios:
Question : Can -0.50 be the probability of some event? Why or why not?
Answer: This cannot be a valid probability for some event. because all the probability values must lie within the range of [ 0 , 1 ] that is from 0 to 1. It cannot be a negative value.
Question: Can 1.45 be the probability of some event? Why or why not?
Answer: This cannot be a valid probability for some event. because all the probability values must lie within the range of [ 0 , 1 ] that is from 0 to 1. It cannot be greater than 1.
Question: Can 0.50 be the probability of some event? Why or why not?
Answer: This can be a valid probability for some event. because all the probability values must lie within the range of [ 0 , 1 ] that is from 0 to 1 and 0.5 lies in the given region.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.