SOLUTION: Would someone mine answering this problem? A poll was taken of 13,290 working adults aged 40-70 to determine their level of education. The participants were classified by sex

Algebra ->  Probability-and-statistics -> SOLUTION: Would someone mine answering this problem? A poll was taken of 13,290 working adults aged 40-70 to determine their level of education. The participants were classified by sex      Log On


   



Question 1051917:
Would someone mine answering this problem?
A poll was taken of 13,290 working adults aged 40-70 to determine their level of education. The participants were classified by sex and by level of education. The results are shown below.
Education Level Male Female Total
High School or Less 2756 2318 5074
Bachelor's Degree 3888 3372 7260
Master's Degree 324 549 873
Ph.D. 43 40 83
Total 7011 6279 13,290

A person is selected at random. Compute the following probabilities.
(a) What is the probability that the selected person does not have a Ph.D.?

(b) What is the probability that the selected person does not have a Master's degree?

(c) What is the probability that the selected person is female or has a Master's degree?

(d) What is the probability that the selected person is male or has a Ph.D.?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Education Level Male Female Total
High School or Less2756 2318 5074
Bachelor's Degree 3888 3372 7260
Master's Degree 324 ====549 873
Ph.D. ==========43=====40=======83=
Total======= 7011 ===6279= 13,290
The selected person does not have a Ph.D is 13207/13290, because 83 DO have a Ph.D. This is 0.9938
Does not have a Master's degree. I will not assume that somebody with a Ph.D. does not concomitantly have a Master's degree. Some do, but we will assume they don't. That is 12417/13290=0.9343
Female or has a Master's Degree.
Female is 6279/13290
Master's degree is 873/13290
Both (which we subtract, because that is double counting) is 549/13290
The numerator is 6270+873-549=6594
The probability is 6594/13290=0.4962
------------
Male is 7011
Ph.D. is 83
-both is -43
It is 7051/13290=0.5305