Question Help A national survey indicated that 30% of adults conduct their banki

Question

Question Help A national survey indicated that 30% of adults conduct their banking online. It also found that 60% are under the age of 50, and that 15% are under the age of 50 and conduct their banking online. a) What percentage of adults do not conduct their banking online? b) What type of probability is the 15% mentioned above? c) Construct a contingency table showing all joint and marginal probabilities. d) What is the probability that an individual conducts banking online given that the individual is under the age of 50? e) Are Banking online and Age independent? Explain.

Explanation / Answer

Ans:

c)

a)P(do not conduct online banking)=0.7

70%

b)P(under <50 and use online banking)=0.15

Joint probabilty

d)P(use online banking/under 50)=P(use online banking and under 50)/P(under 50)=0.15/0.6=0.25

e)Two events are independnet if P(A and B)=P(A)*P(B)

P(use online banking and under 50)=0.15

P(use online banking)*P(under 50)=0.3*0.6=0.18

Both are not equal,so not independent.

online banking Yes No Marginal under 50 0.15 0.45 0.6 50 or older 0.15 0.25 0.4 Marginal 0.3 0.7 1

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