Question

Using the following data, build a Venn diagram and then answer the following questions by filling in each blank with the correct number.

In a survey of 120 customers of the Rufus Company regarding their purchases of sweatshirts, the following data were obtained.

45 buy those sweatshirts sold under the Rufus label.

60 buy those sweatshirts sold under the Wolf label.

56 buy those sweatshirts sold under the Finite label.

23 buy those sweatshirts sold under the Rufus and Wolf label.

18 buy those sweatshirts sold under the Rufus and Finite label.

20 buy those sweatshirts sold under the Wolf and Finite label.

8 buy those sweatshirts sold under all three labels.

(a)  n(R∪W∪F)n(R∪W∪F) =

(b)  n(R∩W∩Fc)n(R∩W∩Fc) =

(c)  n(R∪W∪F)cn(R∪W∪F)c =

(d) the probability that a customer, chosen at random, bought a Rufus label sweatshirt and a Wolf label sweatshirt (rounded to two decimal places) =

Answer 1