What is the probability that a randomly selected tire will fail before the 35,000 mile warranty mileage stated?

Probabilities are used to determine how likely, or often an event is, to happen. The probability that the selected tire fails before 35000-mile warranty is 0.11702

From the complete question, we have:

--- number of tires

First, we calculate the mean

This gives:

Next, calculate the standard deviation

This gives:

The probability a tire will fail before 35000 is represented as:

Calculate the z score

This gives

So, we have:

From z table of values:

Hence:

So, the probability that the selected tire fails before 35000-mile warranty is 0.11702

Read more about normal distribution probabilities at:

link

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.