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Suppose that you know that in the population of full-time employees in the United States, the...

  1. Suppose that you know that in the population of full-time employees in the United States, the average number of vacation days taken off of work per year is 10 with a standard deviation of 4. Please answer the following questions using this information, assuming that the number of vacation days taken forms a normal distribution.
    1. What percentage of the population takes at least 7 vacation days off per year?
    1. What is the number of vacation days that marks the 30th percentile of this distribution?
    1. What proportion of the distribution takes between 6 and 10 vacation days off per year?
    1. What percentage of the distribution takes between 6 and 15 vacation days off per year?
    1. Suppose that you randomly select an individual from the population who takes 20 vacation days off per year. Calculate that person’s z score and intepret it What does it tell you?
    1. What is the probability of randomly selecting an individual from the population who takes 8 vacation days or more off?

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