Must have JMP Software:

[Problem 1] A tire manufacturer believes that the tread life of its snow tires can be described by a normal model with a mean of 32,000 miles and a standard deviation of 2,500 miles. In planning a marketing strategy, a local tire dealer wants to offer a refund to any customer whose tires fail to last a certain number of miles. However, the dealer does not want to take too big a risk. If the dealer is willing to give refunds to no more than 1 of every 25 customers, for what mileage can he guarantee these tires to last?

[a] What is the name of the distribution that you used to model this problem?

[b] What are the values of the parameters of this distribution?

[c] Use the JMP Distribution and Probability Calculator to find the solution.

Paste screenshot of JMP Distribution and Probability Calculator with inputs and graph here.

[d] Based on your analysis, what mileage can he guarantee these tires to last?

Example screen shot of the image that JMP must look like.

JMP Distribution and Probability Calculator 4. Distribution Characteristics Poisson Distribution Distribution Poisson Parameters 0 50 Moan 4 0.15 Reset Distribution Probably Type of Calculation O input values and calculate probability OInput probability and calculate values 0 00 10 Calculations Probability Option Isput X>q Value: 2 Oql 42 Help More Info Restart Demo Probability = 0.2381