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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: ___________________
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This file is about application of normal distribution. Normal distribution is symmetric about mean and area under it is equal to one. This is used to calculate probability of continous random variables. The central part is mean.The norma distribution graph looks like a bell shaped curve. If we know the mean and standard deviation of a random variable, then we can predict the probability between any range for the random variable. The mean divides the normal distribution curve in two halves.
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