According to the empirical rule, approximately what percentage of the area under a normal distribution lies within
tutor4helpyou2. According to the empirical rule, approximately what percentage of the area under a normal distribution lies within 1 standard deviation of the mean? Within 2 standard deviations?Within 3 standard deviations?
4. Can a normal distribution always be used to approximate a binomial distribution?
10. If x has a normal distribution with mean µ = 15 and standard deviation ó = 3, describe the distribution of x values for sample size n, where n = 4, n = 16, and n = 100. How do the x distributions compare for the various sample sizes?
12. Given that x is a normal variable with mean µ = 110 and standard deviation ó = 12, find:
a) P(x≤120) b) P(x≥80) c) P(108≤ x ≤ 117)
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