A group of Clemson students are asked whether they carry an ATM card. The result

Question

A group of Clemson students are asked whether they carry an ATM card. The results are summarized in the following table. Carry ATM Does not Carrv AIM Total 12 Freshman Sophomore Junior Senior Total 18 38 30 60 15 10 52 62 114 8. Among the group of Clemson students, what is the probability that a randomly selected student carries ATM card? 9. Among the group of Clemson students, what is the probability that a randomly selected student carries ATM card and is a senior? 10. Are the events "Freshman" and "Carry ATM" mutually exclusive? Justify your answer with probability statements. 11. Are the events "Freshman" and "Carry ATM" independent? Justify your answer with probability statements

Explanation / Answer

8)

P(carries ATM card)= 52/114= 0.4561

9) P(carries ATM card and senior)=8/114=0.0702

10)Noas they contain 12 individual in that category. hence P(carry ATM and freshmen) =12/114=0.1053

which is not equal to 0 therefore not mutually exclusicve

11)P(Carry ATM)*P(Freshman)=(52/114)*(30/114)=0.1200 whcih is not equal to  P(carry ATM and freshmen)

therefore not independent.

carry ATM does not carry Total freshman 12 18 30 sophomore 22 38 60 junior 10 5 15 senior 8 1 9 total 52 62 114

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