Distributed random-find symmetric interval

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Reference no: EM131056303

Let X be a normally distributed random variable with mean µ = −2 and standard deviation σ = 3.2. You will need to use a Z-score table or your calculator for this problem.

(a) What is the probability that X ≥ 1?

(b) What is the probability that 0 ≤ X ≤ 1?

(c) Find a symmetric interval about the mean so that you can be 97% sure that X lies in that interval. In other words, find a so that p(−2 − a ≤ X ≤ −2 + a) = .97

Reference no: EM131056303

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