Question

Bus Econ 7.5.43 Question Help Among Uses of automated eller machines (ATM). 93% use ATMs to withdraw cash and 32% use them to check their account balance Suppose that 6 Use ATMs to either withdraw cash or check their account balance (or both). Given a woman who uses an ATM to check her account balance, what the probability that she also uses an ATM to get cash? The probability is (Simplify your answer. Round to three decimal places as needed.)

Answer 1

(1) let pis probability, then p(A or B) = P(A) +pB) - p( A and B) let A= Withdraw cash B = Check there account balance According to questin P(A) = .93 p(B) = .32 p(A or B) = .96 p(A and B) = ? → 0.96 = 0.93+0.32 - p(A and B) p(A and B) = 1.25 – 0.96 = 0.29

$p\left(\frac{A}{B}\right)=\frac{p(A~and~B)}{p(b)}=\frac{0.29}{0.32}=0.906$

The probability is 0.906