In a football match, X is a RV that represents the interarrival time between goals scored by team A (in minutes). Y is a RV that represents the interarrival time between goals scored by team B (in minutes). The joint CDF of the two RVs is given by: Fxy(x, y) = {(1-e-2*)(1 – e-3y), x2 0, y 2 0 elsewhere Tir 0, Given that team A scored its first goal in less than 2 minutes (from the beginning of the match), and team B scored its first goal in less than 1 minute (from the beginning of the match), find the probability that team A scored its first goal in less than 1 minutes (from the beginning of the match), and team B scored its first goal in less than 0.5 minute (from the beginning of the match)
In a football match, X is a RV that represents the interarrival time between goals scored by team A (in minutes). Y is a RV that represents the interarrival time between goals scored by team B (in minutes). The joint CDF of the two RVs is given by: Fxy(x, y) = {(1-e-2*)(1 – e-3y), x2 0, y 2 0 elsewhere Tir 0, Given that team A scored its first goal in less than 2 minutes (from the beginning of the match), and team B scored its first goal in less than 1 minute (from the beginning of the match), find the probability that team A scored its first goal in less than 1 minutes (from the beginning of the match), and team B scored its first goal in less than 0.5 minute (from the beginning of the match)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:In a football match, X is a RV that represents the interarrival time between
goals scored by team A (in minutes). Y is a RV that represents the interarrival
time between goals scored by team B (in minutes). The joint CDF of the two
RVs is given by:
Firte
-e-)(1- e-3), x20, y 2 0
elsewhere
Time
Fxy (x, y) = { 0.
%3D
Given that team A scored its first goal in less than 2 minutes (from the
beginning of the match), and team B scored its first goal in less than 1 minute
(from the beginning of the match), find the probability that team A scored its
first goal in less than 1 minutes (from the beginning of the match), and team B
scored its first goal in less than 0.5 minute (from the beginning of the match)
Ca0.4321
D0.9093
C0.215
d. 0.7201
0.6717
ING 0O KDA
140
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