1. Given a standard normal distribution, find the area between z = −1.84 and z = 0.68.2. Suppose μ = 50, σ = 3. Find P (X > 55).3. Find the z value such that 95% of the standard normal curve lies between −z and z.4. For a normal distribution with μ = 70, σ = 10, what is the x value to be in the top 60% of the distribution?5. Explain why P (X ≤ 220) should be reported as > 0.9999 if X is a normal random variable with mean 100 and standard deviation 15.
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