PARTICIPATION EXERCISE

Refrigerators. The lives of refrigerators are normally distributed with mean μ = 14 years and standard deviation σ = 2.5 years. (Source: Based on information fromConsumer Reports.)

(a) Draw a normal curve on the diagram below with the parameters labeled. For the standard deviation, mark off one "sigma" to either side of the mean.

(b) Shade the region that represents the proportion of refrigerators that last for more than 17 years.

(c) Compute the area under the normal curve to the right of x = 17 and provide two interpretations of this fact IN THE CONTEXT OF THE GIVEN PROBLEM CONCERNING REFRIGERATORS.

Area to the right of x = 17: ___________________