Question

Suppose you are going to roll a die 60 times and record the proportion of times that a 1 or 2 is showing, s. The sampling distribution of s should be centered about....?

Answer 1

The die has six sides, equally likely.
Two of the six are yes values.
So the probability of a yes is 2/6 or 1/3
So if you roll 60 times, the mean result should be 20 out of 60 if the die is fair.

Now we could do a binomial or more likely a normal distribution for n = 60 to figure the probabilities of less than 18 or whatever :)

Answer 2

so my final answer would be 1/3 right? it seems too simple to be true...

Answer 3

YES

Answer 4

the mean of the sample should be the same as the mean of the population.