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Mathematics 15 Online
OpenStudy (anonymous):

The probability that a vehicle entering the Luray Caverns has Canadian license plates is 0.12; the probability that it is a camper is 0.28; and the probability that it is a camper with Canadian license plates is 0.09. What is the probability that a camper entering the Luray caverns has Canadian license plates? At first I thought that it was (0.12)(0.28) but I was wrong. Any comments?

OpenStudy (anonymous):

"and the probability that it is a camper with Canadian license plates is 0.09"

OpenStudy (anonymous):

hmmm. divide it up into 100 parts. 12 parts are canadian, 28 parts are campers

OpenStudy (anonymous):

of these 12 and 28 parts, 9 parts are canadian campers

OpenStudy (anonymous):

camper is given, so you're looking for the chance that any given camper entering the caves is canadian

OpenStudy (anonymous):

@yrai you can find it if you know what you're looking for

OpenStudy (amistre64):

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OpenStudy (amistre64):

"the probability that it is a camper with Canadian license plates is 0.09" What is the probability that a camper entering the Luray caverns has Canadian license plates? isnt it still just .09?

OpenStudy (anonymous):

no, it isn't. camper is given.

OpenStudy (amistre64):

1) a vehicle has Canadian license plates is 0.12 2) it is a camper is 0.28 3) it is a camper with Canadian license plates is 0.09 What is the probability that: a camper has Canadian license plates?

OpenStudy (amistre64):

i might be reading it wrong, but i cant see where

OpenStudy (anonymous):

0.1

OpenStudy (anonymous):

oh sorry, are you referring to the 1st question? yup, that's the question

OpenStudy (anonymous):

sorry can't follow what you're saying..make it simple

OpenStudy (anonymous):

@Peter14 can you explain it again?

OpenStudy (amistre64):

this is as simple as i can make it ... clear out the distraction words and we are left with 1) a vehicle has Canadian license plates is 0.12 2) it is a camper is 0.28 3) it is a camper with Canadian license plates is 0.09 What is the probability that: a camper has Canadian license plates?

OpenStudy (anonymous):

yes that's it

OpenStudy (amistre64):

since the term camper is amibiguous, we can call the camper a truck ... 1) a vehicle has Canadian license plates is 0.12 2) it is a truck is 0.28 3) it is a truck with Canadian license plates is 0.09 What is the probability that: a truck has Canadian license plates?

OpenStudy (anonymous):

yes

OpenStudy (amistre64):

yes is not an answer .....

OpenStudy (anonymous):

I mean it's clear that's the question given above

OpenStudy (amistre64):

1) X has Canadian license plates is 0.12 2) X is a truck is 0.28 3) X is a truck with Canadian license plates is 0.09 What is the probability that: X is a truck with Canadian license plates?

OpenStudy (anonymous):

then what's the solutions?

OpenStudy (amistre64):

condition 1: 0.12 condition 2: 0.28 condition 3: 0.09 What is the probability of: condition 3 ?

OpenStudy (anonymous):

then?

OpenStudy (amistre64):

@Peter14 your expertise is required :)

OpenStudy (anonymous):

please @Peter14

OpenStudy (anonymous):

@amistre64 can you help me solve another problem?

OpenStudy (anonymous):

help me on this: The resume’s of 2 male applicants for a college teaching position in chemistry are placed in the file as the resume’s of 2 female applicants. Two positions become available and the first, at the rank of assistant professor, is filled by selecting 1 of the 4 applicants at random. The second position, at the rank of instructor, is then filled by selecting at random 1 of theremaining 3 applicants. Using the notations M2F1, for example, to denote the simple eventthat the first position is filled by the 2 male applicant and the second position is filled bythe first female applicant: (a) list the elements of the sample space S; (b) list the elements of S corresponding to event A that the position of assistant professor is filled by a male applicant; (c) list the elements of S corresponding to event B that exactly 1 of the 2positions was filled by a male applicant; (d) list the elements of S corresponding to event C that neither position was filled by a male applicant; (e) list the elements of S corresponding to the event A (f) list the elements of S corresponding to the event A (g) constructa Venn diagram to illustrate the intersections and unions of the events A, B, and C

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