SOLUTION: a die is modified so that the probabilities of the six possible results are in proportion to the possible results; i.e. the probability of rolling a two is twice the probability of

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Question 807008: a die is modified so that the probabilities of the six possible results are in proportion to the possible results; i.e. the probability of rolling a two is twice the probability of rolling a one, the probability of rolling a three is three times the probability of rolling a one, the probability of rolling a four is four times the probability of rolling a one, the probability of rolling a five is five times the probability of rolling a one, and the probability or rolling a six is six times the probability of rolling a one.
a. what is the probability of rolling a 6?
b. what is the expected value of the result of a roll?
c. What is the variance of the result of a roll?

Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
probabilities are:
1/21 ,2/21, 3/21, 4/21 , 5/21 and 6/21
So
a) 6/21
b) 91/21
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Thanks