Answer
a)$ 0.667$
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) $0.667$
d) Yes
Work Step by Step
a) We use the equation for probability to find:
$probability=\frac{number \ of \ good \ outcomes}{number\ of\ all\ outcomes}$.
$probability=2/3=0.667$
b) The odds of all of the events is the same: $1/9$. Hence 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); 0.5
(4,9); 0.5
(5,4); 0.5
(5,9); 1
(9,4); 0.5
(9,5); 1
c) We find the mean:
$(4/9)+(0.5)(4/9)=0.667$
d) The sample proportion is unbiased, because the results to part a) and part c) are identical.
