Of all the students who take the CPA examination, one-fourth have a Master’s deg
ID: 3152969 • Letter: O
Question
Of all the students who take the CPA examination, one-fourth have a Master’s degree and the remainder have Bachelor’s degrees. Half of the students with Bachelor’s degrees pass the examination, and three-fourths of those with Master’s degrees pass.
a. Create a joint probability table that represents this information.
b. Find the probability that a student chosen at random from those taking the exam will pass.
c. What is the probability that a student both has a Bachelor’s degree and passes the examination?
d. What is the probability that a student with a Bachelor’s degree will not pass the examination?
e. What is the probability that a student who has not passed the examination has a Master’s degree?
f. What is the probability that a student either passes the examination or has a Bachelor’s degree, or both?
Explanation / Answer
a)
Consider:
****************************
b)
From the table,
P(pass) = 3/8+ 3/16 = 9/16 [ANSWER]
***************************
c)
From the table,
P(B n P) = 3/8 [ANSWER]
***************************
d)
From the table,
P(P'|B) = P(P' n B)/P(B) = (3/8)/(3/4) = 1/2 [ANSWER]
*******************************************
Hi! Please submit the next part as a separate question. That way we can continue helping you! Please indicate which parts are not yet solved when you submit. Thanks!
Pass Not Pass Total Bachelor's (3/4)*(1/2)=3/8 3/4-3/8=3/8 3/4 Master's 3/4*1/4=3/16 1/4-3/16=1/16 1/4Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.