Question

The average human lifespan is 79 years with a standard deviation of 15 years. What percent of humans will live longer than 109 years?

A. 2.28%
B. 4.92%
C. 7.84%
D. 13.59%

Answer 1

To find the percentage of humans that will live longer than 109 years, calculate the z-score and use the standard normal distribution table. The answer is option A. 2.28%.

Step-by-step explanation:

To find the percentage of humans that will live longer than 109 years, we need to calculate the z-score and use the standard normal distribution table. The z-score formula is (x - mean) / standard deviation. For this question, x = 109, mean = 79, and standard deviation = 15. So, the z-score is (109 - 79) / 15 = 2. The standard normal distribution table tells us that approximately 2.28% of the population will have a z-score greater than 2. Therefore, the answer is option A. 2.28%.