Statistics Solutions

[Solution] Suppose the lifetimes of Hoover vacuum cleaners are normally distributed with an average life (μ) of 12 years and a population standard deviation

Question: Suppose the lifetimes of Hoover vacuum cleaners are normally distributed with an average life (μ) of 12 years and a population standard deviation (σ) of 1.4 years.

  1. What proportion of Hoover vacuum cleaners will last 14 years or more?
  2. What proportion of Hoover vacuum cleaners will last 7 years or less?
  3. What proportion of Hoover vacuum cleaners will last between 11 and 13 years?
  4. Calculate the 85 th percentile.
  5. Calculate the 7 th percentile.

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