Jane's accounting department hires CPA's from three states. The head of accounting gives Jane the following information. Three states are beginning to require that future CPA's have 150 hours of college credit, VA, NC, and Hp. 10% of the future CPA's will come from HI, 30% from VA, and 60% from NC. Given that a future CPA is from VA there is a 38% probability that they will have met the 150 hrs of college credit requirement. Whereas, given a future CPA is from NC there is an 85% probability that they will have met the 150-hr college credit requirement. In the same vein, given a future CPA is from HI there is a 42% probability that they will have met the 150-hr college credit requirement. The accounting department wants to know: Create a joint probability table. b. What is the probability of a future CPA not having the 150-hr college credit requirement? c. a. d. Given that a student does not meet the 150-hr college credit requirement, what is the probability that they are from NC? Show that the state a future CPA is from and the ability to meet the 150-hr college credit requirement are dependent events (i.e., show p(alb)=p(a)).

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Jane's accounting department hires CPA's from three states. The head of accounting gives Jane the
following information.
Three states are beginning to require that future CPA's have 150 hours of college credit, VA, NC, and
Hp. 10% of the future CPA's will come from HI, 30% from VA, and 60% from NC. Given that a future
CPA is from VA there is a 38% probability that they will have met the 150 hrs of college credit
requirement. Whereas, given a future CPA is from NC there is an 85% probability that they will have
met the 150-hr college credit requirement. In the same vein, given a future CPA is from HI there is a
42% probability that they will have met the 150-hr college credit requirement. The accounting
department wants to know:
Create a joint probability table.
b. What is the probability of a future CPA not having the 150-hr college credit requirement?
c.
a.
d.
Given that a student does not meet the 150-hr college credit requirement, what is the probability
that they are from NC?
Show that the state a future CPA is from and the ability to meet the 150-hr college credit
requirement are dependent events (i.e., show p(alb)=p(a)).
Transcribed Image Text:Jane's accounting department hires CPA's from three states. The head of accounting gives Jane the following information. Three states are beginning to require that future CPA's have 150 hours of college credit, VA, NC, and Hp. 10% of the future CPA's will come from HI, 30% from VA, and 60% from NC. Given that a future CPA is from VA there is a 38% probability that they will have met the 150 hrs of college credit requirement. Whereas, given a future CPA is from NC there is an 85% probability that they will have met the 150-hr college credit requirement. In the same vein, given a future CPA is from HI there is a 42% probability that they will have met the 150-hr college credit requirement. The accounting department wants to know: Create a joint probability table. b. What is the probability of a future CPA not having the 150-hr college credit requirement? c. a. d. Given that a student does not meet the 150-hr college credit requirement, what is the probability that they are from NC? Show that the state a future CPA is from and the ability to meet the 150-hr college credit requirement are dependent events (i.e., show p(alb)=p(a)).
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