Suppose the data below represent, in thousands, the type of health insurance coverage of people by age. Determine

Upper P left parenthesis less than 18 years old right parenthesisP(<18 years old)

and

Upper P left parenthesis less than 18 years old | no health insurance right parenthesisP(<18 years old | no health insurance).

Are the events

"less than<18

years old" and "no health insurance" independent?

Age

less than<18

18-44

45-64

greater than>64

Total

Private health insurance

44,599

71,586

53,390

27,596

197,171

Government health insurance

24,209

13,959

12,116

34,032

84,316

No health insurance

9,892

29,691

12,539

694694

52,816

Total

78,700

115,236

78,045

62,322

34,303

Upper P left parenthesis less than 18 years old right parenthesisP(<18 years old) =

(Round to three decimal places as needed.)

Upper P left parenthesis less than 18 years old | no health insurance right parenthesisP(<18 years old | no health insurance) = ?

(Round to three decimal places as needed.)

Are the events

"less than<18

years old" and "no health insurance" independent?

a. No
b. Yes