Question

In an injection-molding operation, the length and width, denoted as X and Y, respectively, of each molded part are evaluated. Let A denote the event of 48 < X < 52 centimeters B denote the event of 9 < Y < 11 centimeters. Construct a Venn diagram that includes these events. Shade the areas that represent the following:
a. A
b. A ∩ B
c. A' ∪ B
d. A ∩ B
e. If these events were mutually exclusive, how successful would this production operation be? Would the process produce parts with X = 50 centimeters and Y = 10 centimeters?

Answer 1

Answer:

attached below

Step-by-step explanation:

Attached below are the Venn diagrams

A :  48 < X < 52   cm

B : 9 < Y <  11 cm

a) A

b) A ∩ B

c) A' ∪ B

d) A ∪ B

e)  for events to be mutually exclusive it means that both events can not occur simultaneously i.e. A ∩ B = 0

the process would not be successful hence the process would not produce parts with X = 50 cm and Y = 10 cm