The following two regression models are Probit and Logit respectively:
Pr(Y = 1|X) = Φ (β₀ + β₁ × X₁ + β₂× X₂)
Pr(Y = 1|X) = F (β₀ + β₁ × X₁ + β₂× X₂)
What functions do Φ and F represent?

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