12. The table shows the number of students who took the March Bar Test for the first timeand thc numbcr of students who repact the exam.Passed Failed Total64582058First time 442722521845407RepeatTotal873748343903a. )Find the probability that a student failed, given that the student took the exam forthe first time.b.) Find the probability that a studnt repeated the exam, given the student passed.

Question
Asked Oct 17, 2019
2 views
12. The table shows the number of students who took the March Bar Test for the first time
and thc numbcr of students who repact the exam.
Passed Failed Total
6458
2058
First time 4427
2252
1845
407
Repeat
Total
8737
4834
3903
a. )Find the probability that a student failed, given that the student took the exam for
the first time.
b.) Find the probability that a studnt repeated the exam, given the student passed.
help_outline

Image Transcriptionclose

12. The table shows the number of students who took the March Bar Test for the first time and thc numbcr of students who repact the exam. Passed Failed Total 6458 2058 First time 4427 2252 1845 407 Repeat Total 8737 4834 3903 a. )Find the probability that a student failed, given that the student took the exam for the first time. b.) Find the probability that a studnt repeated the exam, given the student passed.

fullscreen
check_circle

Expert Answer

Step 1

Part (a)

 

The total number of the student is 8737.

 

Find the probability that a student failed, given that the student took exam for the first time.

Here we take FT is for first time having exam and R is for repeat the exam.

P is for passed student and F is for failed.

Figure out from the table. The intersection of fai...

P(FOFT)
P(FT)
P(F|FT)
2058
6458
=.3186 or 31.86%
help_outline

Image Transcriptionclose

P(FOFT) P(FT) P(F|FT) 2058 6458 =.3186 or 31.86%

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Probability

Related Probability Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: Which of the following numbers are inside the event ?=[2,4]⋃[5,8]? (Select all that apply.) A. (62/3...

A: Given Interval[2,4] ⋃[5,8]a)62/35 = 1.77 lies in the interval [2,4]b)41/22 = 1.86 lies in the interv...

question_answer

Q: question (b) make it very detailed

A: As per the questionGiven p.d.f of fx(x) is

question_answer

Q: Given that a person married was female, what is the probability that the person was between the ages...

A: 1.From the given information,  Less than 2020-2425-3435-4445 +TotalMale5057,76027,07210,95012,173584...

question_answer

Q: For this problem, carry at least four digits after the decimal in your calculations. Answers may var...

A: In this question, we need to find the sample size for the proportion of females when no preliminary ...

question_answer

Q: The probability of a snowstorm on Thanksgiving is 0.40 and the probability of a snowstorm on Christm...

A: Independent Events:Two events are said to be independent if occurrence of one event does not affect ...

question_answer

Q: Five hundred consumers were surveyed about a new brand of snack food, Crunchicles. Their age groups ...

A: Probability that the consumer is 18–24 years of age, given that they dislike CrunchiclesAs per the q...

question_answer

Q: 6. In a jury selection pool, 65% of the people are female. Of these 65%, one out of four works in a ...

A: Given info:The probability of female, P(female ) = 0.65.One out of four of them works in a health fi...

question_answer

Q: Let E and F be two events in S with P(E) = 0.45, P(F) = 0.63, and P(E ∪ F) = 0.87. Find P(E ∩ F) and...

A: Formula:For 2 events A and B, P (A ⋃ B) = P (A) + P (B) – P (A ∩ B).

question_answer

Q: M&M plain candies come in various colors. According to the M&M/Mars Department of Consumer A...

A: Given Data