Among uses of automated teller machines, 91% use ATMs to withdraw cash and 32% u

Question

Among uses of automated teller machines, 91% use ATMs to withdraw cash and 32% use them to check their account balance. Suppose that 96% use ATMs to either withdraw cash or check their accounted balance (or both). Given a man who uses an ATM to check his account balance, what is the probability that he also uses an ATM to get cash?
The probability is ______. Round to three decimal places as needed. Among uses of automated teller machines, 91% use ATMs to withdraw cash and 32% use them to check their account balance. Suppose that 96% use ATMs to either withdraw cash or check their accounted balance (or both). Given a man who uses an ATM to check his account balance, what is the probability that he also uses an ATM to get cash?
The probability is ______. Round to three decimal places as needed.
The probability is ______. Round to three decimal places as needed.

Explanation / Answer

percentage of users who withdraw cash in atm= 91%

proabability that a user withdraw cash in atm i.e P(withdraw cash)= 0.91

percentage of users who check their account balance in atm= 32%

proabability that a user check his account balance in atm i.e P(check their account balance)= 0.32

percentage of users who either withdraw cash or check their accounted balance = 96%

proabability that a user either withdraw cash or check his accounted balance i.e or P(withdraw cash or check their account balance) = 0.96

we know that P(A or B) =P(A) +P(B) -P(A and B)

P(withdraw cash or check their account balance) = P(withdraw cash) +P(check their account balance) - P(withdraw cash and check their account balance)

0.96 = 0.91 + 0.32 -  P(withdraw cash andcheck their account balance)

P(withdraw cash andcheck their account balance) = 0.91 + 0.32 - 0.96 = 0.27

probability that user an ATM to get cash given that user uses an ATM to check his account balance

= P(withdraw cash / check their account balance)

= P(withdraw cash and check their account balance) /P(check their account balance)

= 0.27/0.32

= 0.8438

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.