Question: What is the percentage of the total area under the normal curve within plus and minus three standard deviations of the mean?

1. A recent survey reported that 56% of registered voters in Michigan are Democrats." Does this statement illustrate percentage, proportion or probability?
2. Find the probability for P(-2. 10 < z <2.54).
3. It is known that college students sleep an average of 6 hours per night with a standard deviation equal to 1.8 hours. A student is selected at random. Find the probability that he/she sleeps less than 5 hours
4. Consider a binominal distribution with 15 identical trails, and probability of success of 0.5
   1. Find the probability that x=2 using the binomial tables
   2. Use the normal approximation to find the probability that x=2

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