Help with statistics homework

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Three students scheduled interviews for summer employment at an Institute. In each case the interview results in either an offer for a position or no offer. Experimental outcomes are defined in terms of the results of the three interviews.

a) how many experimental outcomes exsit

b) show the value of the random variable x, where x is the number of yeses. Let Y =" yes, the student receives an offer", and N="no, the student does not receive an offer"

Experimental Outcome 

Y,Y,Y

N,Y,Y

Y,N,Y

Y,Y,N

N,N,Y

N,N,N

Oct 20th, 2015

Thank you for the opportunity to help you with your question!

a) how many experimental outcomes exist

          

Y,Y,Y

N,Y,Y

Y,N,Y

Y,Y,N

N,N,Y

N,N,N

= 6 outcomes


b) show the value of the random variable x, where x is the number of yeses. Let Y =" yes, the student receives an offer", and N="no, the student does not receive an offer"


X= incidences of Y= 10

       =


Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 20th, 2015

I need more clarification 

Oct 20th, 2015

in the question ,the outcome is a combine of the three, thus counts to 6

Correction

Random variable of X, which represents Y, is defined as a possible number of incidence, ranging from minimum to maximum, in this case, it is 1 to 10

thus is 1,2,3,4,5,6,7,8,9,10

Oct 20th, 2015

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