Statistics: Joint probabilty with coins and die
Not what you're looking for?
A die is rolled and the number observed X is recorded. Then a coin is tossed number of times equal to the value of X . For example if X = 2 then the coin is tossed twice, etc. Let Y be the number of heads observed.
Note: Assume that the die and the coin are fair. What is the joint probability mass function of X and Y? What is the marginal probability mass function of X and Y?
Purchase this Solution
Solution Summary
The joint probability with coins and die are examined for marginal probability mass function.
Solution Preview
First, we find the joint probability mass function of X and Y
P(X = x, Y = y) = P(X = x)P(Y = y|X = x) = (1/6) * C(x, y) * (1/2)^x
= (1/6) * (1/2)^x * x!/(y!(x-y)!)
where x = 1, 2, 3, 4, 5, 6 and y = 0, 1, ..., ...
Purchase this Solution
Free BrainMass Quizzes
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.
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.
Measures of Central Tendency
Tests knowledge of the three main measures of central tendency, including some simple calculation questions.