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Question
State whether the following statement is true or false:
lf X ∼ P(m) with P(X = 1) = P(X = 2) then m = 1.
Options
True
False
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Solution
This statement is False.
Explanation:
P(X = 1) = P(X = 2)
∴ `(e^-m m^1)/(1!) = (e^-m m^2)/(2!)`
⇒ 1 = `m/2`
⇒ m = 2
∴ m ≠ 1.
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