Answer
a) .667
b) (4,4); 0
(5,5); 1
(9,9); 1
(4,5); .5
(4,9); .5
(5,4); .5
(5,9); 1
(9,4); .5
(9,5); 1
c) .667
d) Yes
Work Step by Step
a) We use the equation for probability to find:
$P=\frac{number\ of\ desired\ outcomes}{total\ number\ of\ outcomes}$
$P = \frac{2}{3}=.667$
b. The odds of all of the events is the same: 1/9. Thus, we use the same equation as above to find the percentage of odd numbers:
(4,4); 0
(5,5); 1
(9,9); 1
(4,5); .5
(4,9); .5
(5,4); .5
(5,9); 1
(9,4); .5
(9,5); 1
c) We find that the mean is:
$=(4/9)+(.5)(4/9)=.667$
d) The sample proportion is unbiased, for the results to part a and part c are identical.
