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c) A strangely biased coin is tossed 3 times. Let X be the discrete random variable representing the number of heads which can occur. Suppose the discrete probability distribution of X was known to be as follows: X = x₁ 0 1 2 3 P(X = x₂) 0 1/2 1/4 1/4 i) Determine the Expected value μ = E(X) of X. ii) Determine the variance V(X) = ²(X). iii) What indications are there that the coin is strangely biased?

c) A strangely biased coin is tossed 3 times. Let X be the discrete random variable representing the number of heads which can occur. Suppose the discrete probability distribution of X was known to be as follows: X = x₁ 0 1 2 3 P(X = x₂) 0 1/2 1/4 1/4 i) Determine the Expected value μ = E(X) of X. ii) Determine the variance V(X) = ²(X). iii) What indications are there that the coin is strangely biased?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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c) A strangely biased coin is tossed 3 times. Let X be the discrete random variable representing the number of heads which can occur. Suppose the discrete probability distribution of X was known to be as follows: X = x₁ 0 1 2 3 P(X = x₁) 0 1/2 1/4 i) Determine the Expected value μ = E(X) of X. ii) Determine the variance V(X) = ²(X). iii) What indications are there that the coin is strangely biased? 1/4
Transcribed Image Text:c) A strangely biased coin is tossed 3 times. Let X be the discrete random variable representing the number of heads which can occur. Suppose the discrete probability distribution of X was known to be as follows: X = x₁ 0 1 2 3 P(X = x₁) 0 1/2 1/4 i) Determine the Expected value μ = E(X) of X. ii) Determine the variance V(X) = ²(X). iii) What indications are there that the coin is strangely biased? 1/4
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