A coin tossed twice. Let X denote the number of tails on the first toss and Y denote nber of tails on the 2 tosses. If the coin is unbalanced and a tail has a AB% chance of nd; int probability distribution table of X and Y with their marginal distributions. robability that at least 1 tail occurs. the conditional distribution of X given Y=1. tod valu e of V

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Question 2: A coin tossed twice. Let X denote the number of tails on the first toss and Y denote
the total number of tails on the 2 tosses. If the coin is unbalanced and a tail has a AB% chance of
occurring. Find;
a. the joint probability distribution table of X and Y with their marginal distributions.
b. the probability that at least 1 tail occurs.
c. Find the conditional distribution of X given Y=1.
d. Find the expected value of X.
e. Find the standard deviation of X.
f. Find the covariance of X and Y.
Transcribed Image Text:Question 2: A coin tossed twice. Let X denote the number of tails on the first toss and Y denote the total number of tails on the 2 tosses. If the coin is unbalanced and a tail has a AB% chance of occurring. Find; a. the joint probability distribution table of X and Y with their marginal distributions. b. the probability that at least 1 tail occurs. c. Find the conditional distribution of X given Y=1. d. Find the expected value of X. e. Find the standard deviation of X. f. Find the covariance of X and Y.
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