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The following is the roster for a small upper-division biology class at a univer

ID: 2932192 • Letter: T

Question

The following is the roster for a small upper-division biology class at a university. The course is offered to both biology and non-biology majors. Each row represents the major, class standing, and course grade.

Student

Major

Class Standing

Grade

Cameron

Biology

Junior

A

Tamara

Biology

Junior

A

Jenny

Biology

Junior

A

Rachel

Biology

Junior

A

Lan

Other

Senior

A

Sam

Biology

Senior

B

Carlos

Biology

Senior

B

Jacob

Biology

Sophomore

B

Lamar

Biology

Sophomore

B

Heather

Other

Junior

B

Daniel

Other

Senior

B

Marcus

Other

Senior

B

Carrie

Biology

Junior

C

Sean

Other

Junior

C

Tina

Other

Junior

C

Robert

Biology

Senior

D

Tara

Other

Senior

D

Jeremy

Biology

Sophomore

F

Q3. (6 points) Of the students in the class the chance a randomly selected student is:

Round all probabilities to three decimal places.

a Biology major is: P(Biology Major) =

a senior is: P(Senior) =

a Biology major AND a Senior is: P(Biology AND Senior) =

Explain step by step as if you giving a solution to someone who does not know anything about probability how you came up with your answer for part c.

Student

Major

Class Standing

Grade

Cameron

Biology

Junior

A

Tamara

Biology

Junior

A

Jenny

Biology

Junior

A

Rachel

Biology

Junior

A

Lan

Other

Senior

A

Sam

Biology

Senior

B

Carlos

Biology

Senior

B

Jacob

Biology

Sophomore

B

Lamar

Biology

Sophomore

B

Heather

Other

Junior

B

Daniel

Other

Senior

B

Marcus

Other

Senior

B

Carrie

Biology

Junior

C

Sean

Other

Junior

C

Tina

Other

Junior

C

Robert

Biology

Senior

D

Tara

Other

Senior

D

Jeremy

Biology

Sophomore

F

Explanation / Answer

Answers with detailed explanations below:

a. P( biology major) = no. of people with bio major/total people = 13/13+7 = .650

b. P( senior) = no. of seniors/total people = 7/20 = .350

c. P( senior and bio major) = no. of people with bio major and senior/total people = 3/20 = .150