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?

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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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