The general manager of the service department of MCA Television has estimated th

Question

The general manager of the service department of MCA Television has estimated that the time that elapses between the dates of purchase and the dates on which the 50-in. plasma TVs manufactured by the company first require service is normally distributed with a mean of 24 months and a standard deviation of 5 months. If the company gives a 1–year warranty on parts and labor for these TVs, determine the percentage of these TVs manufactured and sold by the company that will require service before the warranty period runs out. (Round your answer to two decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question.

Explanation / Answer

We are given that the mean is == 24 and the standard deviation is = = 5

So, clearly here if the TV breaks before the year i.e.12 months, we will need to use the warranty.

Now , for the normal distribution here ,we have

P(Z)= Z= (x-  )/

=Z=(12-24)/5

=Z= -2.4

Now we will convert the Z to the probability using the chart

So we get P(Z)= 49.2%...............................................................................................Answer

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