Purchase Solution

Calculating joint pmf, conditional pmf, finding covariance

Not what you're looking for?

Ask Custom Question

1) suppose that you repeatedly toss a coin whoes probability of head is p. Let X denote the number of tosses needed to get the first head and Y denote the number of tosses needed to get the second toss.
a) Find the joint pmf of X and Y.
b) Find the conditional pmf of Y given X=x.
c) Are X and Y independent?
d) (Bonus) Find the covariance of X and Y.

Attachments
Purchase this Solution
Solution Summary

The solution calculates joint pmf, conditional pmf and finds covariance.

Purchase this Solution
Free BrainMass Quizzes
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.

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.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

View More Free Quizzes
Related BrainMass Solutions

  • Conditional Expectation Function

    43959 Conditional Expectation Function P(x1,x2)= (x1 choose x2) (1/2)^x1 (x1/15), x2= 0,1,2, ...., x1 x1= 1, 2, 3, 4 ,5 0 elsewhere is the joint pmf of X1 and X2.

  • Joint PMF of Two Coins

    The solution gives detailed steps on finding the joint pmf after rolling two coins and deciding independence of two variables.

  • Working with Discrete Distributions

    210408 Working with Discrete Distributions Let X1 and X2 have the joint pmf fiven by the following (X1,X2) f(X1,X2) (1,1) 3/8 (2,1) 1/8 (1,2) 1/8 (2,2) 3/8 Find: a.the marginal pmfs, f1(x1) and f2(x2) b. the means, m1

  • Calculation of Marginal distribution, Cumulative probability

    89947 Calculation of Marginal distribution, Cumulative probability Calculation of Marginal distribution, Cumulative probability, Conditional Expectation,Joint Probability for a given density function. Please see the attached file. Ans. a).

  • Statistics: Joint, marginal and conditional densities & expectation

    393921 Statistics: Joint, marginal and conditional densities & expectation ** Please see the attached file for a Word formatted copy of the problem ** 1. Consider the joint pmf p(x,y)=cxy, 1

  • Transformations - Joint and Marginal Probability Mass Function

    43357 Transformations - Joint and Marginal Probability Mass Function Let X1 and X2 have the joint pmf p(x1,x2) = (x1x2)/36 x1=1,2,3 and x2=1,2,3, zero elsewhere. Find first the joint pmf of Y1=X1X2 and Y2=X2, and then find the marginal pmf of Y1.

  • Expectations

    43491 Expectations Functions Described Question: X and Y have the joint pmf described below: (x,y) (1,1) (1,2) (1,3) (2,1) (2,2) (2,3) p(x,y) 2/15 4/15 3/15 1/15 1/15 4/15 and p(x,y)=0 elsewhere.

  • Order stats

    38740 Finding CDF, PMF and Order of Integers Let f(x) =1/6, x=1,2,3,4,5,6, zero elsewhere be the pmf of a distribution of the discrete type.

  • Joint and marginal probability mass functions in coin toss

    What is the marginal pmf? Are X and Y independent? A fair coin is tossed four times and X is number of heads on first three tosses and Y on last three. What is the joint probability mass function of x and y? What is the marginal pmf?

View More Related Solutions