(Normal Distribution I) Suppose Atlas Tire Company has developed new steel belted radial tire. Atlas believes the guarantee will be a prominent factor in the marketability of the tire. It wants to set a guarantee value of 44,000 miles. A Normal distribution is assumed. Preliminary Usage tests using a sample of tires show the new tire has a mean life span (μ) of 50,000 miles with a standard deviation (σ) of 5,000 miles. If the guarantee is set to be 44,000 miles, what proportion of its tire production will it have to replace?(Normal Distribution II) Suppose Atlas decides that they want to replace only 10% of the tires under the guarantee, same distribution, σ, μ. What mileage x, does this equate to?
This is one of my discussion questions, I have completed over 3/4 of the work in labs but I cannot figure out where to start. I have watched countless videos on YouTube and understand what they are doing with the data except they have much data I don't have much. Please show me the process and formulas used in Excel.