Part I: Normal Probability Distribution and Inverse Normal
Probability
You will use Minitab or Excel to answer the following questions. No
hand computation. Minitab users: You can learn about the options
inside the dialogue box of Normal Distribution by calc >
probability distributions > Cumulative Probability > A single
value for form of input > Choose Normal for Distribution >
Enter Value and parameters > Display a table of cumulative
probabilities > OK
Use the ? button in the dialogue box for normal distribution to
find the definitions and steps for cumulative probability and
inverse cumulative probability if you need to.
Excel users: As soon as you type =NORM.DIST or NORM.INV, you will
see choices of Excel functions for normal distributions
immediately. Enter the arguments inside ( ).
Problem Statement: The tire mileage at the Everun Tire Company was
described by a normal probability distribution with μ = 50,000 and
? = 4,000 miles.
Q1: What is the probability that the tire mileage will exceed
Value, 60,000 miles?
Q2: What mileage guarantee should Everun Tire Co. set to ensure
that no more than 2 % of the tires qualify for the guarantee? Here,
the inverse cumulative normal probability is used.
In addition to the mean and standard deviation, you type in the
number in each question in the input constant, and select one out
of three options (probability density, cumulative probability, and
inverse cumulative probability
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