Q2. 60 college students are classified according to their class standing and fav

Question

Q2. 60 college students are classified according to their class standing and favorite drink: Coke(C) Pepsi(P) Root Beer(R) Freshmen(F) Sophomore(S) Junior(JR) Senior(SR Please find (10 points, 2 for each): Find P(F or C) * .Find P(F and C) Find P( SR or JR) Find P(PIS) Find P(SIR * - (Alternative 3) Q2. 60 college students are classified according to their class standing and favorite drink Coke(C) Pepsi(P) Root Beer(R Freshmen(F) Junior(JR) Senior(SR) Please find (10 points, 2 for each): .P(F and S and SR) P(C or P or R) P( (F and C) 1 F )-

Explanation / Answer

Q2:

Following table shows the row total and column total:

From table we have

P(F) = 11/60, P(C) = 25/60, P(F and C) = 5/60

By the addition rule

P(F or C) = P(F) + P(C) - P(F and C) = (11/60) + (25/60) - (5/60) = 31/60

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From table,

P(SR) = 8/60, P(JR) = 24/60

Since SR and JR are mutually exclusive events so

P(SR or JR) = P(SR) + P(JR) = (8/60) + (24/60) = 32/60 = 8/15

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From table,

P(P and S) = 7 / 60, P(S) = 17/60

Therefore,

P(P|S) = P(P ans S) / P(S) = 7/17

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From table,

P(S and R) = 1 / 60, P(R) = 17/60

Therefore,

P(S|R) = P(S ans R) / P(R) = 1/17

C P R Total F 5 4 2 11 S 9 7 1 17 JR 9 4 11 24 SR 2 3 3 8 Total 25 18 17 60

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