Question: Suppose that the thicknesses of the bolts (mm) manufactured by a certain process can be modeled with a normal distribution of having µ=10 and σ =1 Note: The Density curve here is just the standard normal curve shifted to be centered at 10 rather than 0.

1. What is the long-run proportion of bo9lts whose thicknesses are at most 11 mm? Hint: The corresponding normal curve area is identical to what z curve area?
2. In the long run, what proportion of these bolts will have thickness values between 7.5 mm and 12.5 mm?
3. In the long run? What proportion of these bolts will have thicknesses that exceed 11.5mm?

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