The average length of crocodiles in a swamp is 11.5 feet. if the lengths are normally distributed with a standard deviation of 1.7 feet, find the probability that a crocodile is more than 11 feet long.

The average length of crocodiles in a swamp is 11.5 feet. if the lengths are normally distributed with a standard deviation of 1.7 feet, find the probability that a crocodile is more than 11 feet long.

solution:

To obtain P (x>11) we first need to obtain the value of the z-score:

z = (11-11.5) / 1.7

thus

z=-0.2941

thus

P (x>11) = 1-P (z<-0.2941) = 1-0.3859=0.6141