Question

The lifetime (in thousand miles) of a tire selected randomly from a used tire shop, X, is a random variable with density f(x). Find the standard deviation for this distribution.

Answer 1

The standard deviation for the given probability density function cannot be calculated without more information.

Step-by-step explanation:

The standard deviation for a probability density function can be calculated using the formula:

Standard Deviation = square root of the integral of (x - mean)² * f(x) dx

In this case, the mean and standard deviation of the lifetime of a tire are not provided. Therefore, it is not possible to calculate the standard deviation without more information.