Boost your Grades with us today!

Chemistry homework help

Suppose that Batman will have n battles next year (with n a positive integer), and that each battle is with the Joker with probability p1, Catwoman with probability p2, and the Riddler with probability p3, independently. Here p1, p2, p3 are nonnegative and sum to 1. Let X1, X2, X3 be the numbers of battles Batman will have with the Joker, Catwoman, and the Riddler next year, respectively) Suppose for this part only that the parameters p1, p2, p3 are unknown, n = 360, and it is observed that exactly 36 of the battles are with the Riddler. A natural way to estimate p3 would be to use 36/360 = 0.1. The maximum likelihood estimate (MLE) of p3 is the value of p3 that makes the observed data, X3 = 36, as likely as possible. That is, the MLE is the value of p3 that maximizes P(X3 = 36). Show that the MLE is the natural estimate, 0.1. Hint: Take the log before maximizing.


15% off for this assignment.

Our Prices Start at $11.99. As Our First Client, Use Coupon Code GET15 to claim 15% Discount This Month!!

Why US?

100% Confidentiality

Information about customers is confidential and never disclosed to third parties.

Timely Delivery

No missed deadlines – 97% of assignments are completed in time.

Original Writing

We complete all papers from scratch. You can get a plagiarism report.

Money Back

If you are convinced that our writer has not followed your requirements, feel free to ask for a refund.

Need Help? Please contact us