The average length of crocodiles in a swamp is 13 feet If th

The average length of crocodiles in a swamp is 13 feet. If the lengths are normally distributed with a standard deviation of 2.2 feet, find the proportion of crocodiles more than 14.7 feet long. Round your answer to two decimal places

Solution

Normal Distribution
Mean ( u ) =13
Standard Deviation ( sd )=2.2
Normal Distribution = Z= X- u / sd ~ N(0,1)                  
P(X > 14.7) = (14.7-13)/2.2
= 1.7/2.2 = 0.7727
= P ( Z >0.773) From Standard Normal Table
= 0.2198