Question

The distance of successful falcon punch is performed by Captain falcon on a victim or normally distributed. The average distance is 13.8 miles. The standard deviation is 3.2 miles. Use the empirical rule to estimate the probability of a victim traveling longer than 7.4 miles.

0.15%
97.5%
2.5%
99.85%

Answer 1

To estimate the probability of a victim traveling longer than 7.4 miles in a successful falcon punch, we can use the empirical rule.

Step-by-step explanation:

To estimate the probability of a victim traveling longer than 7.4 miles, we can use the empirical rule with the given mean of 13.8 miles and standard deviation of 3.2 miles. The empirical rule states that approximately:

• 68% of the data falls within 1 standard deviation of the mean.
• 95% of the data falls within 2 standard deviations of the mean.
• 99.7% of the data falls within 3 standard deviations of the mean.

Since we want to find the probability of a victim traveling longer than 7.4 miles, which is 6.4 miles below the mean, we need to calculate the probability of the data falling outside 1 standard deviation below the mean:

Probability = 100% - 68% = 32%