Consider the experiment of rolling six six-sided dice. Let Yi each be random variables given by...
Consider the experiment of rolling six six-sided dice.
Let Yi each be random variables given by the following functions of the outcomes in the experiment described above. For each of these new random variables Yi given below, describe (1) the new sample space associated with Yi (i.e., SYi = Yi(S)) and (2) the Probability function P (Yi = k) for value of k in SYi .
(a) Y1 is the number of even integers in the
sequence.
(b) Y2 is the number of 2s in the
sequence.
(c) (461 only) Y3 is the
number of integers greater than 3 in the sequence
Homework Answers
a) Y1 is the number of even integers in the sequence
The sample space for Y1 is {1,2,3,4,5,6}
probability that an even interger appears is 1/2.
b) Y2 is the number of 2s in the sequence
The probability of getting a 2 is 1/6
c) Y3 is the number of integers greater than 3 in the sequence
The probability of getting a number greater than 3 is 1/2
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Consider the experiment of rolling six six-sided dice.
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