Purchase Solution

Statistics: A Coin Toss

Not what you're looking for?

Ask Custom Question

A fair coin is tossed 3 times. Let X be the number of heads on the third tossing and let Y be the total number of heads.

a) Find the joint pdf of X and Y.
b) Find the marginal pdf of X. Compute E(x) and V(x) - does X follow classical distribution?
c) Find the marginal cdf of Y. Compute E(y) and V(y) - does Y follow classical distribution?
d) Compute E(xy), Cov (XY) (covariance) and (rho) (greek letter p).
e) Find all conditional pdf's of X given Y=y.
f) Find all conditional pdf's of Y given X=x.
g) Compute E(X|y) for possible values of y of Y.
h) Compute E(Y|x) for possible values of x of X.
i) Are X and Y dependent or independent?

Purchase this Solution

Solution Summary

This solution provides a detailed, step by step response illustrating how to compute all of the required statistical calculations. The full solution is enclosed in an attached Word document.

Solution Preview

Please view the attached file for the full solution. ...

Purchase this Solution

Free BrainMass Quizzes
Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.