Assignment:
For a marketing survey, 200 customers were classified according to their age (in years) and their favorite type of donut.
|
Age of Customer
|
Glazed
|
Chocolate-covered
|
Crème-filled
|
Cake
|
|
<21
|
3
|
25
|
10
|
7
|
|
21-30
|
5
|
23
|
26
|
10
|
|
31-45
|
15
|
12
|
3
|
20
|
|
>45
|
29
|
5
|
1
|
6
|
(a) What is the probability that a person prefers Creme-filled donut and is age 30 years or less?
(b) What is the probability that either a person’s favorite donut is glazed or that the person is less than 21 year of age?
(c) What is the probability that a person is between 21 and 30 years of age if that person favors chocolate-covered donuts?
(d) Are age and favorite donut independent variables? Why or why not?
Provide complete and step by step solution for the question and show calculations and use formulas.