Math probability chart

Question

In a newspaper poll concerning violence on television, 580 people were asked, "What is your opinion of the amount of violence on prime-time television--is there too much violence on television?" Use the data in the table below to find the given probabilities. Also, complete the following sentences explaining what each means. (Round the percentages to one decimal place.)

	Yes	No	Don't Know	Total
Men	162	75	23	260
Women	256	45	19	320
Total	418	120	42	580

(a) p(W | N) =___ about ___%

(b) p(N ∩ W) =___ about ___%

(c) p(W ∩ N)=___ about ____%

I am confused on how to solve this, so if anyone could explain or even solve just one and I can figure out the rest that would be great, Thanks!!

Answer 1

Will start by making a probability table by dividing all the values by Total (580)

	p(Y)	p(N)	p(D)	Total
p(M)	162/580	75/580	23/580	260/580
p(W)	256/580	45/580	19/580	320/580
Total	418/580	120/580	42/580	1

Now the intersection of p(N) and p(W) is p(N∩ W) , which is on the chart. (The totals give us the values for p(N), p(M), p(W)...etc.)

Then the conditional probability formula is p(W|N)= p(W ∩ N)/ p(N).