Answer
a) Proportion correct, probability
0, 16/25
.5, 8/25
1, 1/25
b) .2
c) Yes
Work Step by Step
a) First, we create the table:
Proportion correct, probability
0, 16/25
.5, 8/25
1, 1/25
b) We find that the mean is:
$mean = (.5)(8/25)+(1/25)=.2$
c) Yes, it does. As is the case in this problem and as always is the case, the mean of the sample distribution of the proportion is equal to the population proportion no matter what.
