Reference no: EM131423075
Find the conditional probability. Refer to given Example. What is the probability that a student is full-time given that the student is 15 to 19 years old? Explain in your own words the difference between this calculation and the one that we did in given Example.
Example
College students. Here is the distribution of U.S. college students classified by age and full-time or part-time status:
|
Age
|
Status
|
|
Full-time
|
Part-time
|
|
15 to 19
|
0.21
|
0.02
|
|
20 to 24
|
0.32
|
0.07
|
|
25 to 34
|
0.10
|
0.10
|
|
35 and over
|
0.05
|
0.13
|
Let's compute the probability that a full-time student is aged 15 to 19. We know that the probability that a student is full-time and aged 15 to 19 is 0.21 from the table of probabilities. But what we want here is a conditional probability, given that a student is full-time. Rather than asking about age among all students, we restrict our attention to the subpopulation of students who are full-time. Let
A = the student is a full-time student
B = the student is between 15 and 19 years of age
Our formula is
P(B | A) = P(A and B) / P(A)
We read P(A and B) = 0.21 from the table as we mentioned previously. What about P(A)? This is the probability that a student is full-time. Notice that there are four groups of students in our table that fit this description. To find the probability needed, we add the entries:
P(A) = 0.21 + 0.32 + 0.10 + 0.05 = 0.68
We are now ready to complete the calculation of the conditional probability:
P(B | A) = P(A and B) / P(A)
= 0.21/0.68
= 0.31
The probability that a student is 15 to 19 years of age given that the student is full-time is 0.31.
|
Determine the truth value of each of these propositions
: determine the truth value of each of these propositions
|
|
Devise a plan to investigate the validity of patients
: Devise a plan to investigate the validity of patients' claims of denial of services. This plan should include, but not be limited to, establishing mechanisms to address service denial claims, a human resources component, and a review of related po..
|
|
Examine the concept of health care ethics
: From the scenario, examine the concept of health care ethics, and ascertain the fundamental way in which such concepts apply to procreation-related issues
|
|
Explain and discuss gene therapy
: Explain and discuss gene therapy. What is it, and how does it work? Provide solid examples to explain its application. What are the potential benefits and risks? Again, provide examples to demonstrate this.Your response should be at least 200 word..
|
|
Find the conditional probability
: Find the conditional probability. Refer to given Example. What is the probability that a student is full-time given that the student is 15 to 19 years old?
|
|
Components of both the pregnancy discrimination act
: What advice would you give to Skyline Prep's Headmaster, Doris Jones? How would you advise her to proceed? Explain the major components of both the Pregnancy Discrimination Act (PDA) and Family Medical Leave Act (FMLA).
|
|
Why is the link between race and delinquency controversial
: What are some of the reasons that have been advanced for racial and ethnic differences in delinquency? Why is the link between race and delinquency controversial? Does controversy similarly characterize the links between age, gender, and social cl..
|
|
Write a short paper on one of the following scientific event
: Write a short paper on one of the following scientific events. Discuss the problem, one or more hypotheses that were formulated, the implications that were drawn, and the test procedures that were used.
|
|
Determine equivalent units for june for the first process
: Managerial Accounting (MBA-511) Compute the predetermined overhead rate used during the year in the Preparation and Fabrication Departments and compute the total overhead cost applied to Job-C.
|