Given information
Use the following information to answer the next two exercises: The life of Sunshine CD players is normally distributed with a mean of years and a standard deviation of years. A CD player is guaranteed for three years. We are interested in the length of time a CD player lasts.
Step-by-step explanation
A normal distribution is a continuous variable with the probability distribution function given as follows:
Where is the mean of the distribution and is the standard deviation.
The notation for the random variable is , if are the mean and the standard normal distribution respectively.
Therefore, the given information in the problem tells that,
The random variable follows the normal distribution with a mean of years and a standard deviation of years.
Mathematically it can be written as: