The following contingency table summarizes the number of students at a college w

Question

The following contingency table summarizes the number of students at a college who have a Mastercard and/or a Visa credit card Do not Have Visa 1,500 4,500 6,000 Have VisaDo Total Have Mastercard Do not have Mastercard Total 1,000 3,000 4,000 2,500 7,500 10,000 (a) Find the proportion of MasterCard holders who have Visa cards. Interpret and write this proportion as a conditional probability. (Enter all responses as decimals rounded to two places.) 2 P(MM) 0.4 0 (b) Find the proportion of Visa card holders who have MasterCards Interpret and write this proportion as a conditional probability. (Enter all responses as decimals rounded to two places.) PMV) 025 4 (c) Are the events having a MasterCard and having a Visa independent Yes ONo

Explanation / Answer

Ans:

a)

P(V/M)=P(V and M)/P(M)=1000/2500=0.4

b)

P(M/V)=P(V and M)/P(V)=(1000/10000)/(4000/10000)=1000/4000=0.25

c)yes

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