So who can help me with a probability question?

so who can help me with a probability prob?


One hundred college students were interviewed to determine their political party affiliations and whether they favored a balanced- budget amendment to the constitution.





23 democrats %26amp; 32 republicans favors the amendment


25 democrats %26amp; 9 republicans do not favor the amendment


7 democrats %26amp; 4 republicans are unsure.


democrats=55


republicans=45


*A person is selected at a random from the sample. Find the probablity that the described person is selected. (You have to find part a, b, c... they are not answer choices!! :P)


a.) a person who doesn't favor the amendment.


b.) a republican


c.) a democrat who favors the amendment

So who can help me with a probability question?
a.) 34/100=34%


b.) 45/100=45%


c.) 23/100=23%
Reply:Er, I answered this a few minutes ago?


.
Reply:OK I think I could help you with your probability question(s)





The probability that the next 'selected' person is someone who does NOT favor the amendment is 34 out of 100 which rounds up to 3 out of 10. which then again rounds up to 1 out of 3 which is technically a third of all your sample range. This is the answer to question a)





Lets work this one out shall we? OK 100 peeps are still in the sample range. We know that 23 Dems and 32 Reps (abbreviations used) favor this amendment. so that's 55 (slightly half of the sample). Then we are left with 34 peeps (cross party) who does not favor the amendment and 11 (cross party) peeps who are undecided.





we know that 34 is a third of your sample range so the chances or probability of the next person to be chosen who does NOT favor the amendment is 1 out of 3. So the probability is a maybe.





OK second question. What are the chances that next chosen person is a Republican. OK lets look at the facts. Theres 32 Reps (abbrev.) in the Favor camp added to the 9 Republicans in the NOT favor camp and 4 that are unsure. Lets add them shall we? 32+9+4=45 which is the smaller half of the sample range of 100 peeps. lets quantify the values to simplify the equation to provide the formula. 45 is 4 or 5 out of 100 which downsizes to 4.5 out of every 10. So to answer your question the probability that the next person to be chosen is a republican (cross camp) is nearly half of the sample range or 1 in 2. so the probability is a strong possibility.





OK the last question. What are the chances the next person to be chosen is a Dem (abbrev.) who favors the amendment. We know from the sample range that the peeps are either Reps or Dems. And we know from my answer to question B that there are 45 Reps in the range out of 100 which leaves 55 peeps as Dems (we can tell by adding the Democratic representatives in each camp 23+25+7=55) which ironically reflects the Democrats composition ratio of the Senate. OK but we need to numerise the actual number of Dems who favors the amendment. we know that only 23 Dems favor the amendment. Lets downsize this. 23 out 100 is 2 out of 10 which is only 20% that 1 in every 5 or 1 Fifth. so the probability that the next chosen person is going to a Dem who favours the amendment is a weak maybe.





I hope my breakdown summary helps
Reply:a) 34/100 = 17/50


b) 45/100


c) 23/100
Reply:try using a simple table
Reply:a. person who doesnt favor the amendment =


no. of ppl not favoring the amendment/ total number.


= 34/100





b. republican = no. of republicans/ total number of ppl


= 45/100





c. there are 23 democrats that favor the amendment


therefore prob. of one of them being the person selected


= 23/total number = 23/100