Suppose the diameter at breast height (inches) of trees of a certain type is normally distributed with mean 8.8 and standard deviation 2.8 What is the probability that the diameter of a randomly selected tree will be at least 10 inches? If 16 observations on diameter at breast height (inches) of trees are taken then find the probability that the sample mean diameter will be within 0.3 inches of the true population mean. How many observations should be taken in the sample so that the sample mean will be within 0.3 inches of the true population mean with probability 0.98?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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Suppose the diameter at breast height (inches) of trees of a certain type is normally distributed with mean 8.8 and standard deviation 2.8

  • What is the probability that the diameter of a randomly selected tree will be at least 10 inches?
  • If 16 observations on diameter at breast height (inches) of trees are taken then find the probability that the sample mean diameter will be within 0.3 inches of the true population mean.
  • How many observations should be taken in the sample so that the sample mean will be within 0.3 inches of the true population mean with probability 0.98?
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