If the lengths of a certain species of crocodiles are normally distributed with a mean of 12.5 ft and a standard deviation of 2.1 ft. the probability that a randomly selected crocodile is more than 12 feet long is 0.5941.
Given :
Mean = 12.5 ft
Standard deviation = 2 .1 ft
Randomly selected crocodile = 12 ft
Hence,
First find Z value, Z = (12 – 12.5) / 2.1
Z = - 0.5 / 2. 1
Z = - 0.238
Using Z table, we will get the probability :
Probability = 1 – 0.4059
Probability = 0.5941
Therefore we can conclude that the probability is 0.5941.
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