(Answered) A a random variable x has the standard normal distribution

Statistics

(a) A random variable X has the standard normal distribution. Use the standard normal Table to determine :

P(X ≤ -0.2), P(X ≤ 0.2), P(| X | ≥ 0.2), P(| X | ≤ 0.2), P(-0.5 ≤ X ≤ 0.5), P(-1 ≤ X ≤ 0.2) .

(b) Suppose X is normally distributed with mean μ = 2.5 and standard deviation σ = 1.5 . Use the standard normal Table to determine :

P( X ≤ -0.5), P(X ≥ 0.5), P(| X - μ | ≥ 0.5), P( | X-μ | ≤ 0.5).

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