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:
since , and for a Bernoulli random variable and :
However, I believe the true value I should have come up with is .
find the 55th term in the following arithmetic sequence: -102, -98, -94, -90
A. What is the value for the degrees of freedom?
B. If the expected number of males with smartphone brand B is 32.5, what is the chi-square component?
C. If the test statistic (chi-square) = 6.40, then the p-value =
D. If the significance level was 0.05, should the researcher reject or fail to reject the null?
find all values of k sor which they given matrix augmented matrix to a consistent linear system
Find a vector function that represents the curve of intersection of the two surfaces of the cylinder x^2+y^2=4 and the surface z=xy.
I need solution of Q2 of given assignment
J. P. Morgan Asset Management publishes information about financial investments. Between 2002 and 2011 the expected return for the S&P was with a standard deviation of and the expected return over that same period for a Core Bonds fund was with a standard deviation of (J. P. Morgan Asset Management, Guide to the Markets). The publication also reported that the correlation between the S&P and Core Bonds is . You are considering portfolio investments that are composed of an S&P index fund and a Core Bonds fund. a. Using the information provided, determine the covariance between the S&P and Core Bonds. Round your answer to two decimal places. If required enter negative values as negative numbers.