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
<pre><b><font face = “Century Gothic” size = 4 color = "indigo">
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.	                        <u>     45</u>       <u>     48</u>        <u>       93</u>
Total	                        4,709       5,730	 10,439</font> </b>
                        =======   =======    ========
</pre><pre>I think you did a fantastic job, but for the fact that you calculated the {{{matrix(1, 17, "P(A", "Master's", degree, "|He", is, male, when, it, should, "be:", "P(Not", a, "Master's", degree, "|He", is, male))}}} 
Therefore, it should be: {{{highlight(highlight_green(highlight(matrix(1,7, (matrix(1,6, Male, and, NOT, a, "Master's", degree)/Male), "======>", ("4,709" - 416)/"4,709", "=", "4,293"/"4,709", "=", 0.911658526))))}}}, <b><u>OR</b></u> You can just SUBTRACT the probability you got from 1.