The average life expectancy of computers produced by Ahmadi, Inc. is 6 years with a standard deviation of 10 months. Assume that the lives of computers are normally distributed. Suggestion: For this problem, convert ALL of the units to months.
a. | What is the probability that a randomly selected computer will have a life expectancy of at least 7 years? |
b. | Computers that fail in less than 5 years will be replaced free of charge. What percentage of computers are expected to be replaced free of charge? |
c. | What are the minimum and the maximum life expectancy of the middle 95% of the computers’ lives? Give your answers in months and do not round your answers. |
d. | The company is expecting that only 104 of this year’s production will fail in less than 3 years and 8 months. How many computers were produced this year? |