The lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard
deviation of 2.6 years. What proportion of crocodiles live between 17.5 and 20.5 years?
Find the Z-table here.
0.3147
0.4068
0.5932
0.6853

Respuesta :

The proportion of crocodiles live between 17.5 and 20.5 years is 0.4068

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Z score is given by:

z = (raw score - mean) / standard deviation

Given a mean of 18 years and a standard deviation of 2.6 years.

For x = 17.5

z = (17.5 - 18) / 2.6 = -0.19

For x = 20.5

z = (20.5 - 18) / 2.6 = 0.96

P(-0.19 < z < 0.96) = P(z < 0.96) - P(z < -0.19) = 0.8315 - 0.4247 = 0.4068

The proportion of crocodiles live between 17.5 and 20.5 years is 0.4068

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