If a random variable X is normally distributed with mean µ and variance σ2, Find P (µ - σ < X < µ + σ ). Given that area 0<Z<1 = 0.34.
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The single most important random variable type is the normal (a.k.a. Gaussian) random variable, parametrized by a mean (µ) and variance (σ2). If X is a normal variable, we write X ∼ N(µ, σ2). ... By design, a normal has E[X] = µ and Var(X) = σ2.
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