The Analysis of Biological Data
The Analysis of Biological Data
2nd Edition
ISBN: 9781936221486
Author: Michael C. Whitlock, Dolph Schluter
Publisher: W. H. Freeman
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Chapter 5, Problem 34AP

a)

To determine

To identify whether events “the first diameter is between 4 and 6” and “the second diameter is between 8 and 12” is mutually exclusive or not.

b)

To determine

To identify whether events “the first diameter is between 4 and 6” and “the second diameter is between 8 and 12” are independent or not.

c)

To determine

To find the probability that “the first diameter is between 4 and 6” and “the second diameter is between 8 and 12”

d)

To determine

To find the probability that “the first diameter is between 8 and 12” or “the second diameter is between 10 and 12”

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Suppose the random variable X is normally distributed with mean 80 and standard deviation 16. Find following probabilities. Find ‘b’ such that P(X ≥ b) = 0.975. Find the probability using a normal distribution table AND using ti-83 calculator. SHOW ALL STEPS PLEASE.
Suppose the random variable X is normally distributed with mean 80 and standard deviation 16. Find following probabilities. Equation:  P(85 ≤ X ≤ 102).  Find the probability using a normal distribution table AND using ti-83 calculator. SHOW ALL STEPS PLEASE.
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