5.1 You roll a pair of dice. What is the joint probability mass function of the low and high points rolled?
5.1 You roll a pair of dice. What is the joint probability mass function of the low and high points rolled?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 81E
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question number 5.1
![5.1 Joint Probability Mass Function
211
Problems
5.1 You roll a pair of dice. What is the joint probability mass function of the
low and high points rolled?
5.2 Let X be the number of hearts and Y be the number of diamonds in a bridge
hand. What is the joint probability mass function of X and Y?
5.3 The joint probability mass function of the lifetimes X and Y of two
connected components in a machine can be modeled by p(x, y) = x!(y-x)!
for x = 0, 1,... and y = x, x + 1,.... What is the joint probability mass
function of X and Y - X? What are the marginal distributions of X, Y-X,
and Y?
5.4 In the final of the World Series baseball, two teams play a series consisting
of at most seven games until one of the two teams has won four games.
Two unevenly matched teams are pitted against each other and the
probability that the weaker team will win any given game is equal to 0.45.
toom and Y he the](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F02433631-7a65-4f58-bcbc-1ca9258e00c4%2Fe4b354bc-d52e-4420-9c10-e568f8c25f3e%2Fsny4gbzp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5.1 Joint Probability Mass Function
211
Problems
5.1 You roll a pair of dice. What is the joint probability mass function of the
low and high points rolled?
5.2 Let X be the number of hearts and Y be the number of diamonds in a bridge
hand. What is the joint probability mass function of X and Y?
5.3 The joint probability mass function of the lifetimes X and Y of two
connected components in a machine can be modeled by p(x, y) = x!(y-x)!
for x = 0, 1,... and y = x, x + 1,.... What is the joint probability mass
function of X and Y - X? What are the marginal distributions of X, Y-X,
and Y?
5.4 In the final of the World Series baseball, two teams play a series consisting
of at most seven games until one of the two teams has won four games.
Two unevenly matched teams are pitted against each other and the
probability that the weaker team will win any given game is equal to 0.45.
toom and Y he the
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