Question

Using the Empirical Rule (68-95-99.7%), estimate the probability of a lizard living less than 21 years. Please indicate as a decimal or a percentage. a) 68% b) 95% c) 99.7% d) 32%

Answer 1

The probability of a lizard living less than 21 years, according to the Empirical Rule, is approximately 68%.

Step-by-step explanation:

The Empirical Rule, also known as the 68-95-99.7% Rule, states that for a normal distribution:

- About 68% of the data falls within one standard deviation of the mean.

- About 95% falls within two standard deviations.

- About 99.7% falls within three standard deviations.

Assuming that the lifespan of lizards follows a normal distribution, we can use this rule to estimate the probability of a lizard living less than 21 years.

If we consider one standard deviation, it covers about 68% of the data. Therefore, the probability of a lizard living less than 21 years is approximately 68%. So, the correct answer is:

a) 68%