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. find the probability that a randomly selected crocodile is more than 12 feet long.

Respuesta :

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.

Probability

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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