MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Math

**Interpreting Relative Frequency Histograms** A purchasing manager at a university is investigating which brand of LCD projector to purchase to equip "smart" classrooms. Of major concern to her is the lifetime of the light bulbs used in the projectors. One company has published the following information regarding the lifetimes of a sample of 50 bulbs used in its LCD projectors: **Histogram Description:** The histogram illustrates the relative frequency of bulb lifetimes in hours, divided into five intervals: - **700 to 750 hours**: Relative frequency is 0.04 - **750 to 800 hours**: Relative frequency is 0.14 - **800 to 850 hours**: Relative frequency is 0.32 - **850 to 900 hours**: Relative frequency is 0.24 - **900 to 950 hours**: Relative frequency is 0.18 - **950 to 1000 hours**: Relative frequency is 0.08 **Task:** Based on the histogram, find the proportion of bulb lifetimes in the sample that are greater than or equal to 900 hours. Write your answer as a decimal, and do not round your answer. **Solution Explanation:** To find the proportion of bulb lifetimes that are greater than or equal to 900 hours, add up the relative frequencies of the intervals 900-950 and 950-1000: - Relative frequency for 900-950 hours: 0.18 - Relative frequency for 950-1000 hours: 0.08 Add them together: 0.18 + 0.08 = 0.26 Therefore, the proportion of bulb lifetimes in the sample that are greater than or equal to 900 hours is **0.26**.
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Transcribed Image Text:**Interpreting Relative Frequency Histograms** A purchasing manager at a university is investigating which brand of LCD projector to purchase to equip "smart" classrooms. Of major concern to her is the lifetime of the light bulbs used in the projectors. One company has published the following information regarding the lifetimes of a sample of 50 bulbs used in its LCD projectors: **Histogram Description:** The histogram illustrates the relative frequency of bulb lifetimes in hours, divided into five intervals: - **700 to 750 hours**: Relative frequency is 0.04 - **750 to 800 hours**: Relative frequency is 0.14 - **800 to 850 hours**: Relative frequency is 0.32 - **850 to 900 hours**: Relative frequency is 0.24 - **900 to 950 hours**: Relative frequency is 0.18 - **950 to 1000 hours**: Relative frequency is 0.08 **Task:** Based on the histogram, find the proportion of bulb lifetimes in the sample that are greater than or equal to 900 hours. Write your answer as a decimal, and do not round your answer. **Solution Explanation:** To find the proportion of bulb lifetimes that are greater than or equal to 900 hours, add up the relative frequencies of the intervals 900-950 and 950-1000: - Relative frequency for 900-950 hours: 0.18 - Relative frequency for 950-1000 hours: 0.08 Add them together: 0.18 + 0.08 = 0.26 Therefore, the proportion of bulb lifetimes in the sample that are greater than or equal to 900 hours is **0.26**.
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