2. Suppose that for a particular brand of LCD televisions, the distribution of failures (how long after purchase the TV's stop working) has a mean of 130 months with a standard deviation of 5 months. a. What is the z-score corresponding to a failure time of 137 months? b. Is it unusual for a TV to have a failure rate of 117 months? Explain. HINT: A value is considered unusual if it is more than 2 standard deviations from the mean. 2 c. According to the 68-95-99.7 Rule, what interval of failure rates should the middle 95% of TV's have?
2. Suppose that for a particular brand of LCD televisions, the distribution of failures (how long after purchase the TV's stop working) has a mean of 130 months with a standard deviation of 5 months. a. What is the z-score corresponding to a failure time of 137 months? b. Is it unusual for a TV to have a failure rate of 117 months? Explain. HINT: A value is considered unusual if it is more than 2 standard deviations from the mean. 2 c. According to the 68-95-99.7 Rule, what interval of failure rates should the middle 95% of TV's have?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:2. Suppose that for a particular brand of LCD televisions, the distribution of failures (how
long after purchase the TV's stop working) has a mean of 130 months with a standard
deviation of 5 months.
a. What is the z-score corresponding to a failure time of 137 months?
b. Is it unusual for a TV to have a failure rate of 117 months? Explain. HINT: A value is
considered unusual if it is more than 2 standard deviations from the mean.
2
c. According to the 68-95-99.7 Rule, what interval of failure rates should the middle 95% of
TV's have?
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