I'm a little confused at this question posed by my prof. He asked us to generate a binomial distribution in R and input whatever variables we wanted.
x = rbinom(50, 10, 0.83)
Then he asks us to compute the sample mean, sample variance, population mean and population variance of the distribution.
sample mean: mean(x)
sample var: var(x)
But I have no idea what he intends we do to get the population mean and variance. Don't you need a larger set of data to be the population and a smaller set to be the sample? I only (seem to) have one set here.
Best Answer
In your example, the population mean is $10\cdot0.83 = 8.3$ and the population variance is $10\cdot0.83\cdot(1-0.83)=1.411$.