A movie rental company tracks movie rentals about custom pre

A movie rental company tracks movie rentals about custom preferences. The table represents rental data for 1662 customers regarding three movies. Based on the data, what is the property a customer who rented movie C also rented movie B? A 0.26 B 0.23 c 0.04 D 0.20

Solution

As per the data furnished in the table, 425 customers rented movie A only, 200 customers rented movie B only and 93 customers rented movie C only. Thus, the total number of customers who did not rent mmovie C is 425+200+93= 718. Hence the total number of customers who rented movie C is 1162-718 = 444. Of these, the number of customers who rented both the movies C and B is 17(C & B) +71(C,B & A) = 88. Hence the probability of a customer who rented movie C also rented movie B is 88/444 = 0.198198198 =- 0.20 (on rounding off to 2 decimal places.). The option D is the correct answer.