Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Conditional Probability

Probability and Statistics

cellus

P(A/B) =

=

P(An B)

P(B)

Freshmen

Sophomores

Juniors

Seniors

Boys

3

1

4

2

Girls

7

9

6

5

21

Sagot :

claire33p7xpgf

Answer:

Here, total number of students is = (3+1+4+2+7+9+6+5) = 37

Event A represents Girls and event B represets Seniors.

Number of girls who are senior students is = 5

Number of senior students is = 5+2 = 7.

Now, P(A\cap B) = [Number of girls who are senior students] / [Number of total students]

i.e., P(A\cap B)=\frac{5}{37}

And, P(B) = [Number f senior students] / [Number of total students]

i.e., P(B)=\frac{7}{37}

Then, P(ANB) P(AB) = P(B)

i.e., P(A|B)=\frac{5/37}{7/37}

i.e., P(A|B)=\frac{5}{7}

Therefore, \boldsymbol{P(Girl|Senior)=\frac{5}{7}}

Explanation:

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.