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Assume a normal distribution and find the following probabilities. (Round the values of z to 2...

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Statistics

Assume a normal distribution and find the followingprobabilities. (Round the values of z to 2 decimal places. Roundyour answers to 4 decimal places.)

(a) P(x < 18 | μ = 22 and σ = 3)

(b) P(x ≥ 69 | μ = 50 and σ = 7)

(c) P(x > 43 | μ = 50 and σ = 5)

(d) P(18 < x < 22 | μ = 20 and σ = 3)

(e) P(x ≥ 96 | μ = 80 and σ = 1.77)

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