My Math Forum Density of a random variable

 April 30th, 2013, 05:53 AM #1 Newbie   Joined: Apr 2013 Posts: 9 Thanks: 0 Density of a random variable Professor Roberto has to take an oral examination. The grading scale is as follows: 5: = best and 1: = worst. At most he only gives the note 4. Each student under review is questioned if he is a Lakers fan. The student's grade is based on his answer (is a fan / not a fan) and on the language in which he answered (not English / English): If the student is a fan of the Lakers reduces his note 2 points. If he answers in English reduces his note 1 point. These reductions are additive so the notes which can be obtained are {4,3,2,1} Is fulfilled: With probability 0.7 the student is not a fan of the Lakers With probability 0.29 the student is a fan of the Lakers and speaks English With probability 0.21 the student speaks English but is not a fan of the Lakers Let N be the random variable indicating the student note. Calculate the density of N. Can anyone help me? How/Where should I start doing this exercises? What does density mean?

 Tags density, random, variable

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