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.
The following figure is given:
Step-by-step explanation
The probability gives the likelihood of a specific event that it will occur.
The value of probability lies between and The probability of a random variable say is usually denoted by .
Therefore, the probability of the random variable assuming any specified value is denoted by .
The probability of the random variable assuming less than or left of any specified value is , and the probability of the random variable assuming more than or right of any specified value is .
Therefore, the area to the left of in the given probability statement represents the probability of the random variable taking values less than .
In mathematical notations, this can be written as,
.