Question

What percentage of goldfish will have lengths between 4. 6 inches and 9. 4 inches? 34% 68% 95% 99. 7%.

Answer 1

Using the Empirical Rule, it is found that 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.

The Empirical Rule states that, for a normal variable:

• Approximately 68% of the measures are within 1 standard deviation of the mean.
• Approximately 95% of the measures are within 2 standard deviations of the mean.
• Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem:

• The mean is of 7 inches.
• The standard deviation is of 1.2 inches.

4.6 = 7 - 2(1.2)

9.4 = 7 + 2(1.2)

Within 2 standard deviations of the mean, hence, 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.

A similar problem is given at https://brainly.com/question/24537145