Consider your Statistics 213 lecture section. There are 120 students registered. Of these 120 students, 53 are Haskayne School of Business students (the remaining students belong to some other faculty). Moreover, 69 students are classified as 1st-Year students and 20 are 1st-Year students and who are not Haskayne students.

You are to randomly choose one student from the 120 in your lecture section. Let

HSrepresent the event that the chosen student is a Haskayne-student, and1

1strepresent the event that this chosen student is a 1st-Year student.

Part (a)Complete the table below. Use four decimals in each of your answers.

1st

• HS
• row probabilities

1

• HS
• row probabilities

column probabilities

• HS
• row probabilities

Part (b)Find the probability that the student you randomly chose is a Haskayne student or in their 1st-Year. Enter your answer to four decimals.

Part (c)Find the probability that the student you randomly chose is neither a Haskayne student nor in their 1st-Year.(use four decimals)

Part (d)What proportion of all the students in your Statistics 213 lecture section are 1st-year students who are not in the Haskayne School of Business?(use four decimals)

Part (e)Are the events and 1 mutually exclusive events? Select the most appropriate reason below.

A.HSand1 are mutually exclusive events, because(1)=0

B.HSand1 are not mutually exclusive events, because(1)0

C.HSand1 are mutually exclusive events, because(1)=()(1)

D.HSand1 are mutually exclusive events, because(1)=0

E.HSand1are not mutually exclusive events, because(1)()(1)

Part (f)Are the events HS and 1 independent events? Select the most appropriate reason below.

A.HSand1 are not independent events, because(1)()(1)

B.HSand1 are not independent events because(1)0

C.HSand1 are independent events because(1)=0

D.HSand1 are independent events because(1)0

E.HSand1 are not independent events because(1)=0

F.HSand1 are independent events, because(1)=()(1)