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Suppose x is a normally distributed random variable with μ=15 and σ=2. Find each of the...

Suppose x is a normally distributed random variable with μ=15 and σ=2. Find each of the following probabilities. (Round to three decimal places as needed.)

a. P(x≥17.5)

b. P(x≤14.5)

c. P(15.8 ≤ x ≤ 19.48)

d. P(10.58 ≤ x ≤17.4)

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