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| Teaching Since: | May 2017 |
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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
5.2.10 In a certain population of fish, the lengths of the individual fish follow approximately a normal distribution with mean 54.0 mm and standard deviation 4.5 mm. We saw in Example 4.3.1 that in this situation 65.68% of the fish are between 51 and 60 mm long. Suppose a random sample of four fish is chosen from the population. Find the probability that
(a) all four fish are between 51 and 60 mm long.
(b) the mean length of the four fish is between 51 and 60 mm.
Example 4.3.1:
Suppose a certain population of observations is normally distributed. What percentage of the observations in the population
(a) are within
 standard deviations of the mean?
(b) are more than 2.5 standard deviations above the mean?
(c) are more than 3.5 standard deviations away from (above or below) the mean?
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