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quester [9]
2 years ago
14

A wildlife preserve features a crocodile with a documented age of 24 years, believed to be one of the oldest crocodiles in capti

vity. 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 have lifespans of at least 24 years? Find the z-table here. O 0.0104 O 0.3336 O 0.4896 O 0.6664​
Mathematics
2 answers:
zysi [14]2 years ago
5 0

Answer:

0.0104

Step-by-step explanation:

Given that, the lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years.

So, mean, \mu=18

and standard deviation, \sigma=2.6

The z-score, for any arbitrary life span of  x year, is given by

z=\frac{x-\mu}{\sigma}

By using the given values, we have

z=\frac{x-18}{2.6} \cdots(i)

The z-score for x=24, by using equation (i), is

z=\frac{24-18}{2.6}=\frac{6}{2.6}=2.31

From the table, the area to the left side of z=2.31 =0.98956

But, the proportion of crocodiles have lifespans of at least 24 years

= Area to the right side of the z=2.31

=1- (Area to the left side of the z=2.31)

=1-0.98956

=0.01044

So, the proportion of crocodiles that have lifespans of at least 24 years is 0.0104.

Hence, option (a) is correct.

Kryger [21]2 years ago
3 0

Answer:

A

Step-by-step explanation:

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