SOLUTION: Hello. I have shown the steps and is asking if my answer is correct?. A poll was taken of 10,439 working adults aged 40-70 to determine their level of education. The partici

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Question 1061752: Hello.
I have shown the steps and is asking if my answer is correct?.
A poll was taken of 10,439 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 2023 3264 5287
Bachelor's Degree 2225 2113 4338
Master's Degree 416 305 721
Ph.D. 45 48 93
Total 4709 5730 10,439

A person is selected at random. Compute the following probabilities.
(b) What is the probability that the selected person does not have a Master s degree, given that he is male?
P( Not a master degrees | He is male) = P( male and master degrees) / P( male)
P( Not a master degrees | He is male) =(416/10439) / ( 4709/ 10439) = 416/4709
===== answer (b)
P( Not a master degrees | He is male) = (416/4709) = approx. 0.088341474

Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

Hello.
I have shown the steps and is asking if my answer is correct?.
A poll was taken of 10,439 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 2023 3264 5287
Bachelor's Degree 2225 2113 4338
Master's Degree 416 305 721
Ph.D. 45 48 93
Total 4709 5730 10,439

A person is selected at random. Compute the following probabilities.
(b) What is the probability that the selected person does not have a Master s degree, given that he is male?
P( Not a master degrees | He is male) = P( male and master degrees) / P( male)
P( Not a master degrees | He is male) =(416/10439) / ( 4709/ 10439) = 416/4709
===== answer (b)
P( Not a master degrees | He is male) = (416/4709) = approx. 0.088341474

Education Level	        Male	 Female	   Total
High School or Less	2,023	 3,264	   5,287
Bachelor's Degree	        2,225	 2,113	   4,338
Master's Degree	           416	   305	      721
Ph.D.	                             45            48               93
Total	                        4,709       5,730	 10,439 
                        =======   =======    ========
I think you did a fantastic job, but for the fact that you calculated the  
Therefore, it should be: , OR You can just SUBTRACT the probability you got from 1.
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