Respuesta :
Answer:
(a)0.34
(b)0.5
(c)0.185
(d)0.544
(e)0.655
(f)Not disjoint events
(g)Independent events
Step-by-step explanation:
The summary of education levels among party lines is given in the table below
[tex]\left|\begin{array}{c|ccc}&$Democrat &$Republican &$Total\\--&--&--&--\\$College Degree &37 &31 &68\\$No College Degree& 63 &69 &132\\--&--&--&--\\$Total &100 &100& 200\end{array}\right|[/tex]
(a)Probability a randomly selected participant has a college degree.
The probability a randomly selected participant has a college degree is:
[tex]=\dfrac{68}{200} =0.34[/tex]
(b)The probability that a randomly selected participant is a democrat.
[tex]=\dfrac{100}{200} =0.5[/tex]
(c)The probability that a randomly selected participant is a democrat and has a college degree.
[tex]=\dfrac{37}{200} =0.185[/tex]
(d)Probability of being a democrat given that the participant has a college degree.
[tex]=\dfrac{37}{68} \approx 0.544[/tex]
(e)The probability of begin a democrat or having a college degree
Number of Democrats =100
Number of Those with College degrees = 68
Number of democrats with College degrees =37
Therefore:
Probability of begin a democrat or having a college degree
[tex]=\dfrac{100+68-37}{200} \\=\dfrac{131}{200}\\\\=0.655[/tex]
(f)The event of having a college degree and being a democrat are not disjoint events as there are some democrats who have a college degree.
(g)The event of having a college degree and being a democrat are independent events as the outcome of one does not affect the other.
