A group of 1,000 people filing for unemployment were asked to provide information about their age and education level. Refer to the Venn diagram below of the survey results. Each symbol represents 10 people in the sample of 1,000.For the given sample 0f 1000,
No High School Diploma; < 55 years = 90 .............................................(1)
No High School Diploma; > 55 years = 40 .............................................(2)
High School Diploma; > 55 years = 30 .............................................(3)
thus, High School Diploma; < 55 years = 1000- (90+40+30) = 840 .........(4)
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Total sample = 1000
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I. Out of the entire sample, the probability that a randomly chosen person over age 55 has no high school diploma is __________.A. 1 out of 4
B. 3 out of 4
C. 4 out of 7
D. 7 out of 16Persons over age 55 = 70
> 55 years; No High School Diploma = 40
Probability = 40/70 = 4/7(C) is the CORRECT answerIII. Out of the entire sample, the probability that a randomly chosen person with no high school diploma is over the age of 55 is__________.A. 1 out of 4
B. 4 out of 9
C. 4 out of 13
D. 9 out of 16
Persons No High School Diploma = 130 (ie, 90+40)
No High School Diploma; > 55 years; = 40
Probability = 40/130 = 4/13(C) is the CORRECT answer(C), (C) are the CORRECT answers to questions (i) , (II), respectively _________________