“For each of the following apply either the Empirical Rule or the Normal Curve Rule.1. A nursing program gives a qualifying exam to students applying for admission. The grades on the exam have a mean score of 80 with a standard deviation of 6. Describe as completely as possible the distribution of grades.2. The lifetimes of an appliance are normally distributed with a mean of 4.3 years and a standard deviation of .45 years. Describe as completely as possible the distribution of lifetimes for this appliance.3. The number of people watching a particular daily television newscast is normally distributed with a mean audience of 1.1 million people and a standard deviation of .15 million people. What is the proportion of these newscasts having between .9 million and 1.5 million viewers?4. The amount of money a particular family spends on food per week has a mean of $400 and a standard deviation of $70. Based on this information can we determine the proportion of weeks the family spends less than $200. If so, find this proportion. If not, explain why.5. The length of time it takes a type of seed to germinate is normally distributed with a mean of 14.5 days and a standard deviation of 3.2 days. If a nursery plants 100,000 of these seeds, how many will germinate in less than 20 days?
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