omework: Homework 6 core: 0.67 of 2 pts %) Section 12.7 Exercise 22 A national s

Question

omework: Homework 6 core: 0.67 of 2 pts %) Section 12.7 Exercise 22 A national survey indicated that 50% of adults conduct their banking online. It also found that 20% are younger than 50, and that 15% are younger than 50 and conduct their banking online 3 of 6 (6 complete) younger than 50 given that she uses online banking? Has the probability that she is younger than 50 increased or decreased with the additional information? The probability that a person is younger than 50 given that she uses online banking is 0.30 Type an integer or a decimal. Do not round.) The probability that the person is younger than 50 isso the probability has increased when given the additional information that the person uses online banking. (Type an integer or a decimal. Do not round.) increased decreased

Explanation / Answer

Probability that adults conduct banking online, P(B) = 0.5
Probability that adults are younger than 50, P(Y) = 0.2
Probabiliy that adult is younger than 50 and conduct online banking, P(B and Y) = 0.15

required probability, P(Y|B) = P(B and Y)/P(B) = 0.15/0.5 = 0.3

The probability that the person is younger than 50 is 0.20. so the probability has increased when given the additional information that the person uses online banking.

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