The table shows the total cost c of buying t movie tickets. Write an equation to represent the relationship between c and t.
The table shows the total cost c of buying t movie tickets. Write an equation to represent the relationship between c and t.
Given you have an independent random sample of a Bernoulli random variable with parameter p, estimate the variance of the maximum likelihood estimator of p using the Cramer-Rao lower bound for the variance
So, with large enough sample size, I know the population mean of the estimator will be p, and the variance will be:
Now I'm having some trouble calculating the variance of , this is what I have so far:
since the probability function of is binomial, we have:
so:
and:
and:
since , and for a Bernoulli random variable and :
Therefore,
However, I believe the true value I should have come up with is .
Here are summary stastistics for randomly selected weights of newborn girls:
Are the results between the two confidence intervals very different?