Consider your Statistics 213 lecture section. There are 120 students registered. Of these 120 students, 56 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. LetHSrepresent the event that the chosen student is a Haskayne-student, and1strepresent 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.

HS HSc Row Probabilities

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1st

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1stc

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Column 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.

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?

Part (f)Are the eventsHS and1stindependent events? Select the most appropriate reason below.

A.HS 1stare not independent events becauseP(HS1st)0 P(HS1st)0.

B.HS 1stare independent events becauseP(HS1st)=0 P(HS1st)=0.

C.HS 1stare independent events, becauseP(HS1st)=P(HS)P(1st) P(HS1st)=P(HS)P(1st).

D.HS 1stare independent events becauseP(HS1st)0 P(HS1st)0.

E.HS 1stare not independent events, becauseP(HS1st)P(HS)P(1st) P(HS1st)P(HS)P(1st).

F.HS 1stare not independent events becauseP(HS1st)=0 P(HS1st)=0.