in a survey of 1000 people categorized as smokers or non smokers, with or withou
ID: 3219612 • Letter: I
Question
in a survey of 1000 people categorized as smokers or non smokers, with or without respiratory problems. Determind whether the following parts of events are independent.
lull allackot 52 and then re-inserted into the deck. A second of 52. Let E be the event "the first card is and let F be the event "the second card is a Queen" Are E and F t events? Compute p(E n F) 3hasarvey of 1000 people categori as with or respiratory problems, the following data were obtained: Respiratory No Respiratory Problem (R) Problem R) smokers (S) 520 180 Nonsmokers (n S) Baed on this data determine whether the following pairs ofevents are indepen- Sand R S and R and R and R S and S R and R that of two characters selected in a certain language, the probability in this language from a text same is 0.03. If a document theExplanation / Answer
Folloiwng table shows the row total and column total:
(a)
P(S) = 700 /1000 =0.7
P(R) = 597 /1000 = 0.597
P(S and R) = 520 /1000 =0.520
SinceP(S and R) not equal to P(S)P(R) so S and R are not independent.
(b)
P(S) = 700 /1000 =0.7
P(not R) = 403 /1000 = 0.403
P(S and not R) = 180 /1000 =0.180
SinceP(S and not R) not equal to P(S)P(not R) so S and (not R) are not independent.
(c)
P(R) = 597 /1000 =0.597
P(not S) = 300 /1000 = 0.300
P(R and not S) = 77 /1000 =0.77
SinceP(R and not S) not equal to P(not S)P(R) so R and (not S) are not independent.
(d)
P(not R) = 403 /1000 =0.403
P(not S) = 300 /1000 = 0.300
P(not R and not S) = 223 /1000 =0.223
Since P(not R and not S) not equal to P(not S)P(not R) so (not R) and (not S) are not independent.
(e)
S and (not S) are mutually exlcusive so they are not independent.
(f)
R and (not R) are mutually exlcusive so they are not independent.
R not R Total S 520 180 700 not S 77 223 300 Total 597 403 1000Related Questions
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