8

# How can I solve this Question? HELP ME

### Transaction    Cash Check     No Check    Totals Make Deposit       29              12           41 No Deposit           23              11           34 Total                     52              23           75

• Express P left (E 1 '|E 2 ') in words.
The probability of a customer not cashing a check, given that the customer made a deposit.
B. The probability of a customer cashing a check, given that the customer made a deposit.
C. The probability of a customer not cashing a check, given that the customer did not make a deposit.

• Then Find (E 1 '|E 2 ')=

### 1 Answer by Expert Tutors

Mohammed R. | Specialist in GED and College Prep MathSpecialist in GED and College Prep Math
7
The correct expression of P (E1'|E2') in words is C. The probability of a customer not cashing a check, given that the customer did not make a deposit.

Now,

P(E1') = 23/75

P(E2') = 34/75

P(E1' ∩ E2') = 11/75

So, P(E1'/E2') = P(E1' ∩ E2')/P(E2')

= (11/75)/(34/75)

= 11/34

Hence, P(E1'/E2') = 11/34