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Mathematics 18 Online
OpenStudy (iwanttogotostanford):

HELP PLEASE:

OpenStudy (iwanttogotostanford):

@phi I am really stuck on this one

OpenStudy (iwanttogotostanford):

really need help on this one

OpenStudy (iwanttogotostanford):

i think it is choice A, but Im not 1000% sure

OpenStudy (mathmate):

1. First convert the table to overall probabilities: Add up all four numbers, call it total. Divide each entry by the total to give the probability of each of four cells. Make sure the sum of probabilities add up to one. Can you do that?

OpenStudy (phi):

you could do that. you could also do this: P(female | type B) which means "Prob if female given type B" circle just "type B" row then find the ratio of female to total in that row

OpenStudy (iwanttogotostanford):

@mathmate

OpenStudy (mathmate):

P(female|type B) = P(female \(\cap\) type B) / P(type B). If you did step 1 above, you can find easily P(female \(\cap\) type B) and P(type B). P(female \(\cup\) type B) = P(female)+P(type B) -P(female \(\cap\) type B) P(female \(\cap\) type B) is the entry (from step 1) where the column type B meets the row female. P(type B) is the sum of the two entries on col. type B P(female) is the sum of the two entries on row female.

OpenStudy (iwanttogotostanford):

or?

OpenStudy (iwanttogotostanford):

hello?

OpenStudy (mathmate):

Sorry, I do not know, I have not worked it out. If you show me your work, I will tell you if the answer is correct.

OpenStudy (iwanttogotostanford):

well I already showed my work with the probabilities, and then with that I concluded with choice A, but I am not sure i said

OpenStudy (iwanttogotostanford):

so I don know what to do exactly

OpenStudy (iwanttogotostanford):

hello? could you please reply/...

OpenStudy (iwanttogotostanford):

hello?

OpenStudy (iwanttogotostanford):

@phi can i have help please?

OpenStudy (iwanttogotostanford):

@phi

OpenStudy (volleyballlover55):

i can help you!

OpenStudy (volleyballlover55):

@iwanttogotostanford you there? :)

OpenStudy (iwanttogotostanford):

yes! @volleyballlover55 sorry please do help!

OpenStudy (iwanttogotostanford):

I really need help here people, did I get it right- is it choice A???

OpenStudy (mathmate):

To do the comparison, you need to calculate P(female \(cup\) type B). I have shown above how you can get that.

OpenStudy (phi):

*** so for female the probability would be: for Type A: 85/150 and for Type B:12/50 ? *** those are the correct numbers, but you should say Pr( female | type A) and Prob(female | type B) we want the 2nd , 12/50 or 24/100 or 24% we also need Pr(female OR type B)

OpenStudy (phi):

Prob of female or B is the sum of the numbers in either category divided by the total in all of the boxes

OpenStudy (mathmate):

Is it just me or everyone, OS is going resetting almost every time I start typing!

OpenStudy (phi):

OS has been flakey. I don't think math mate abandoned you on purpose

OpenStudy (iwanttogotostanford):

ok, me too thats what happens sometimes I guess.

OpenStudy (mathmate):

I have always been on and trying to help!

OpenStudy (iwanttogotostanford):

ok, sorry it looked like you went away

OpenStudy (iwanttogotostanford):

So, I converted the table into probabilities but I'm still a little confused on what to do next

OpenStudy (mathmate):

You need to find both P(female|type B) [which you already calculated with @phi 's helped], and \(P(female\cup type B)\), for which @phi and I also showed you how to get. Once you have calculated both, the answer would be obvious.

OpenStudy (iwanttogotostanford):

so P(female | type B) would be 24% and then the other would be using what fractions? Im sorry I still don't get how to calculate the second done, which fractions (probabities) would i want to use?

OpenStudy (mathmate):

As @phi said, you add up all numbers associated with female OR type B, and divide by the total of all numbers to get the probability \(P(female\cup type B)\).

OpenStudy (iwanttogotostanford):

all of the numbers associated with female and type B would be: 85, 12, and 38 correct?

OpenStudy (mathmate):

Yes, that's the meaning of "or". To find the probability, you need to divide the sum by the total of all outcomes.

OpenStudy (mathmate):

After that, you can do the comparison and find the right answer. Hope that solves your problem. gtg, will be back later in the evening.

OpenStudy (iwanttogotostanford):

@campbell_st @jhonyy9 do you guys agree that it is Option A?

OpenStudy (iwanttogotostanford):

I got that but the person left before they could confirm

OpenStudy (mathmate):

I do not know if you have done the appropriate calculations, the purpose of which is to enable you to solve related problems in the future. To help you confirm, however, P(female\(\cup\)type B) is 0.675. The process would have been done in 15 minutes instead of an hour if OS wasn't going up and down. Sigh!

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